Mathematical Publications

Books:

(1)     “The Algebraic Theory of the Bianchi Groups” – research monograph Pure and Applied   Mathematics Series No. 129  Marcel Dekker Inc. 1989

(2)       “Combinatorial Group Theory: Proceedings of the Conference University of

Maryland         1988” – edited with A. Gaglione and C.Y.Tang – Contemporary Mathematics Series          Vol. 109- AMS – 1990

(3)       “The Fundamental Theorem of Algebra” – with G.Rosenberger                       Springer-Verlag – 1997

 

(4)       “Algebraic Generalizations of Discrete Groups” – with Gerhard Rosenberger –         Marcel Dekker – Monographs in Pure and Applied Mathematics 1999

 

(5)       “Number Theory:An Introduction Using the Distribution of Primes” – with Gerhard           Rosenberger  – Springer/Verlag – Birkhauser (2006)

 

(6)      “Combinatorial Group Theory, Discrete Groups and Number Theory” – edited with A.          Gaglione and D. Spellman – Contemporary Mathematics Series Vol. 421- AMS –

2007

 

(7)    “Aspects of Infinite Groups” – edited with G.Rosenberger and D. Spellman  – Algebra

and  Discrete Mathematics – Vol. I – World Scientific Press (2009)

 

(8)   “Computational and Combinatorial Group Theory and Cryptography” – edited with

D.Kahrobaei and G.Rosenberger  – Contemporary Mathematics Series Vol. 582- AMS

2012

 

(9)     “The Elementary Theory of Groups” – with A.Gaglione,A.Myasnikov, G.Rosenberger

and D.Spellman –  DeGruyter, 2015

 

(10)  “Abstract Algebra: with Applications to Algebraic Geometry and Cryptography” with

C.Carstensen and G.Rosenberger –DeGruyter – 2011

 

(11)   “Abstract Algebra: From Groups, Rings and Numbers to Fields and Galois Theory”

with A.Gaglione and G. Rosenberger –  Johns Hopkins Press – 2014

 

(12)  “A Course in Mathematical Cryptography” – with G. Baumslag, M. Kreuzer and

G.Rosenberger – DeGruyter 2016

 

(13) “Infinite Group Theory: From the Past to the Future” – edited with Paul Baginski and

Anthony Gaglione – World Scientific Press – to appear 2106

 

(14)       “Number Theory:An Introduction Using the Distribution of Primes”  with Gerhard           Rosenberger  – Second Edition Springer/Verlag – Birkhauser (2016)

 

(15)  “The Prime Number Theorem: An Introduction to Analytic Number Theory” – with

Gerhard Rosenberger  – in preparation

 

Articles:

 

1974

 

Dissertation:  “The Structure of PSL2(R): R the Ring of Integers in a Euclidean Quadratic                                          Imaginary Number Field ” – thesis advisor – Wilhelm Magnus

 

“The Structure of PSL(2,R)” – In: Discontinuous Groups and Riemann Surfaces , Ann. of                          Math Study 79, (1974) 145-170

 

1975

 

“The HNN and Generalized Free Product Structure of Certain Linear Groups” – Bull.                                A.M.S. Vol. 81, No. 2 (1975) 413-416

 

1976

 

“The SQ-universality of Certain Arithmetically Defined Groups” – with Marvin Tretkoff – J.                       London Math. Soc.  (2) 13, 1976, 64-68

 

“Fuchsian Subgroups of the Picard Group ” – Can. J. Math. – Vol  XXVIII, No. 3 1976                         481-487

 

1977

 

” Sum of Squares Rings” – Can. J. Math.  – Vol. XXIX, No. 1 1977, 155-160

 

“A Note on the Two-Square Theorem” – Can. Math. Bulletin  – Vol. 20 (1), 1977, 93-94

 

“The Psychology of the Mathematician: The Mathematician as a Healthy Narcissist” – with                        Reuben Fine – In: The Narcissistic Condition  Human Sciences Press, 1977, pg.                                213-246

 

1979

 

” The SQ-universality of HNN groups” – with Marvin Tretkoff – Proc. of the A.M.S. –                             73,1979, 283-290

 

“Congruence Subgroups of the Picard Group” – Can. J. Math. – Vol. XXXII, No.                                   6,1979,1474-1481

 

“A Computer Discovery Approach to Quadratic Equations” – with Michael Zabinski –                              Mathematics Teacher, Dec. 1979 – 690-696

 

1981

 

“Locally Free Groups and Direct Limits of CW-Complexes” – with George Lang – Houston                    J. Math Vol. 7, No.3, 1981, 357-363

 

1983

 

“Power Conjugacy and SQ-universality in Fuchsian and Kleinian Groups” – In: Modular                         Functions in Analysis and Number Theory – University of Pittsburgh Press, 1983, 41-55

 

1984

 

“Groups  Whose Torsion-Free Subgroups are Free” – Bull. Acad. Sin. – Vol. 12,No. 1                          (1984)  31-36

 

1985

 

“Optimal Target Settings in the Foodstuff Industry” – Amer. Soc. of Quality Control                                Newsletter – August 1985, pg. 3-4

 

“Optimal Economic Target Settings” –  FDC Control  – November 1985

 

1986

 

“The Free Groups in the Dihedral Variety” – Arch. Math.  Vol .46 (1986)  193-197

 

” Cyclotomic Equations and Square Properties in Rings” – Int. J. Math & Math. Sci.  Vol. 9   No.1 (1986)  89-95

 

“The Amalgam Structure of the Bianchi Groups” – with Charles Frohman –                                                Comptes Rendus of the Royal Society of Canada, Vol. 8, No. 6,  (1986) 353-356

 

“A Note on Generalized Triangle Groups” – with Gerhard Rosenberger – Abhandlungen                          Math. Sem. University Hamburg  (1986)  56, 233-244

 

1987

 

“Fuchsian Embeddings in the Bianchi Groups” –  Can. J. Math. Vol. 32 (6) (1987),392-404

 

“The Picard Group and the Modular Group” –  Proceedings of Groups – St. Andrews                               Cambridge University Press  (1987)  150-164

 

“Some Amalgam Structures for the Bianchi Groups” – with Charles Frohman – 1987 –

Proc.of the  Amer. Math.Soc. Vol. 102 (2) 221-229

 

“The Normal Subgroup Structure of the Picard Group” – with Morris Newman – Trans.                         Amer. Math. Soc. Vol. 302,No. 2 ,Aug.  1987 , 769-787

 

1988

 

“One-relator Quotients and Free Products of Cyclics” – with James Howie and Gerhard                          Rosenberger –  Proceedings of the AMS- Vol. 102 (2) (1988) 249-254

 

“Subgroups and Decompositions of One-relator Products of Cyclics: Part1: The Tits                              Alternative ” – with Frank Levin and Gerhard Rosenberger –  Arch. Math. Vol. 50 (1988),                  97-109

 

” Complex Representations and One-relator Products of Cyclics” – with G. Rosenberger –                   – Contemporary Mathematics, Vol. 74, 1988 Pg. 131-147

 

1989

 

“Ree-Mendelsohn Pairs in  Generalized Triangle Groups” – with J. Howie and G.                                   Rosenberger  – Comm. in Alg. (1989) No. 17, 251-258

 

“Subgroups and Decompositions of One-relator Products of Cyclics: Part 2: Normal                             Torsion-Free Subgroups” – with F. Levin and G. Rosenberger –  J. Indian Math. Soc. 49                   (1989) 237-247

 

“The Algebraic Theory of the Bianchi Groups” – research monograph Pure and Applied                        Mathematics Series No. 129  Marccel Dekker Inc. 1989

 

1990

 

“Conjugacy Separability in Fuchsian Groups and One-Relator Products of Cyclics” – with G. Rosenberger –  Contemporary Math. 109 – Combintorial Group Theory – 1990 –

11-19

 

“Two Generator Subgroups of Certain HNN Groups ” – with Gerhard Rosenberger and F.                         Roehl –  Contemporary Math. 109 – Combintorial Group Theory – 1990 – 19 -25

 

“Combinatorial Group Theory: Proceedings of the Conference University of Maryland 1988” – edited with A. Gaglione and C.Y.Tang – Contemporary Mathematics Series Vol. 109- AMS – 1990

 

“The Euclidean Bianchi Groups” – Communications in Algebra 18 (8), (1990) 2461-2484

 

“Generalizing Algebraic Properties of Fuchsian Groups ” – with Gerhard Rosenberger –                       Groups At. Andrews 1989 – London Math. Soc. Lecture Notes Series 159 pg.124-148

 

“Subgroup Presentations without Coset Representatives” – Topology and Combinatorial                        Group Theory – Springer Verlag Lecture Notes in Math. Vol. 1440 (1990) 59-73

 

1991

 

“Groups Satisfying the Restricted Gromov Property” – Notices of the Bucknell Conference                   on Group Theory – May 1991

 

“Generalizing Algebraic Properties of Fuchsian Groups ” – with Gerhard Rosenberger  – Proc. Eleventh Brazilian Algebra Conference – Inst. Math. e Est. da Usp – Sao Paolo 1991 51-55

 

1992

 

“Groups of F-Type” – with Gerhard Rosenberger – Abstracts of Ohio State Conference on                     Group Theory – May 1992

 

“On Restricted Gromov Groups” – with Gerhard Rosenberger – Communications in Algebra- (20) Number 8 , 1992,2171-2182

 

1993

 

“Counting Subgroups of the Hecke Groups” – with D. Spellman – International                                        Journal of Algebra and Computation Vol. 3 No.1 (1993) 43-49

 

” Classification of Finite Rings of Order p2″ –  Mathematics Magazine, Vol. 66, No. 3,                            (1993) 248-252

 

“A Three-Free Theorem for Certain HNN Groups” – with Frank Roehl and Gerhard                                   Rosenberger –  in Infinite Groups and Group Rings  edited by                                                             J.Corson,M.Dixon,M.Evans,F.Rohl, World Scientific Press, 1993 13-37

 

“Euler Characteristics of One-Relator Products of Cyclics” – with Gerhard Rosenberger and                      Michael Stille -Communications in Algebra  Vol. 21 No. 12(1993) 4353-4359

 

“Groups of F-Type: Reflections and Extensions” – with Gerhard Rosenberger – in Group                    Theory  edited by S.Sehgal and R. Solomon, World Scientific Press 1993, 93-127

 

“Algebraic Extensions of Certain Discrete Groups” – with Gerhard Rosenberger and Andrea Hempel- Analele Universitatii din Timisoara – Romanian Journal of Mathematics –                              Proceedings of the International Conference on Group Theory – 1993 – pgs. 57-91

 

“Groups Admitting Essentially Faithful Representations” – Notices of the Regional Group                      Theory Conference – SUNY Binghampton, May 1993

 

1994

 

“Trace Classes and Quadratic Forms in the Modular Group” – – Can. Math. Bull. Vol. 37                            No.  2(1994) 202-212

 

“On  Groups of Special NEC Type” – with Gerhard Rosenberger – Contemporary                                       Mathematics – Vol. 164 (1994) 17-34

 

“The Freiheitssatz of Magnus and Its Extensions” – with Gerhard Rosenberger –                                         Contemporary  Mathematics – Vol. 169 (1994) 213- 252

 

“A Freiheitssatz for certain one-relator amalgamated products” – with F.Rohl and                                 G.Rosenberger – London Mathematical Society Lecture Notes Series 204  – Combinatorial                 and Geometric Group Theory (1994) 73-87

 

1995

 

“On Generalized Tetrahedron  Groups” – with Frank Levin, Frank Roehl and Gerhard                               Rosenberger – In  Geometric Group Theory – de Gruyter &C0. (1995) pgs.99-119

 

” n-Free Groups and Questions About Universally Free Groups” – with Anthony Gaglione,                      Gerhard Rosenberger and Dennis Spellman- Groups Galway St. Andrews 1993 –                               London Math. Soc. Lecture Notes Series 211 pg.191-204

 

” Classification of Two-Generator Discrete Groups” – with Gerhard Rosenberger – Groups                   Galway St. Andrews 1993 -London Math. Soc. Lecture Notes Series 211 pg.205-232

 

“Reflections on Virtually One-Relator Groups” – with K. Bencsath – Groups Galway St.                     Andrews 1993 -London Math. Soc. Lecture Notes Series 211 pg.37-57

 

“Nielsen Transformations and Applications: A Survey” – with G . Rosenberger and M. Stille – In: Groups Korea 1994 Kim/Johnson Eds. DeGruyter 1995 Pgs.69-105

 

1996

 

“Groups Which Admit Essentially Faithful Representations” – with Gerhard Rosenberger –                      New Zealand Journal of Mathematics,Vol. 25, 1996 ,1-7

 

1997

 

” Faithful Representations of Certain One-Relator Groups” – with Frank Levin and Gerhard                     Rosenberger – New Zealand Journal of Math. – Vol. 26, 1997 1-7

 

“The Isomorphism Problem for a Class of Para-free groups ” – with G.                                                 Rosenberger and M. Stille – Proceedings of the Edinburgh Math. Soc. (1997) vol. 40 Pgs.                 541-549

 

“The Fundamental Theorem of Algebra” – book – with G.Rosenberger                                                      Springer-Verlag – 1997

 

‘The Commutative Transitive Kernel” – with Anthony Gaglione, Gerhard Rosenberger and                     Dennis Spellman-  Algebra Colloquium No. 2 (1997) 141-152

 

“Conjugacy Pinched and Cyclically Pinched One-Relator Groups” – with G.Rosenberger and M.Stille- Revista Math. Madrid – Vol. 10, No.2 (1997) 207-227

 

1998

 

” A Classification of Fully Residually Free Groups” – with Anthony Gaglione, Alexei

Myasnikov,  Gerhard Rosenberger and Dennis Spellman – Journal of                                                  Algebra 200 (1998) 571-605

 

 

 

 

“Test Elements, Almost Primitivity and Automorphisms” – with  G.

Rosenberger,  D. Spellman and M. Stille- Mathematica Comtemporanea – Vol. 14,                             (1998) – 45-61

 

1999

 

“Test Elements, Generic Elements and Almost Primitivity in Free groups” – with  G.

Rosenberger,D. Spellman and M.Stille- Pacific J. of Math. 190 No. 2 (1999) 277-297

 

“The Bianchi Groups”  – Encyclopaedia of Mathematics – Vol. 11ff – Kluwer

Publishers (1996)

 

“Amalgam Decompositions of One-Relator Groups” – with A.Peluso – J. of

Pure and Applied Algebra 141 (1999) 1-11

 

“Alegbraic Generalizations of Discrete Groups” – book – with G.Rosenberger

Marcel Dekker Monographs in Pure and Applied Math – 1999

 

2000

 

“The Tits Alternative for the Generalized Triangle Groups” – with G.Roseneberger and F.

Roehl In: Groups Korea 1998 Kim/Johnson Eds. DeGruyter  (2000) 95-132

 

“Aspects of the Theory of Free Groups” – with K.Bencsath, A.Gaglione, A.Myasnikov, F.

Roehl, G.Rosenberger and D. Spellman – In:Algorithmic Problems in Groups and

Semigroups , Birget,Margolis,Meakin and Sapir Eds.  Birkhauser (2000) 51-91

 

2001

 

“Some Open Problems in Infinite Group Theory” – with Gerhard Rosenberger –

Contemparaneo Mathematica – (11) 2001  73-104

 

“Discriminating Groups” – with A.Gaglione, A.Myasnikov and D.Spellman – J. of Group

Theory  Vol.4 (2001) 463-474

 

2002

 

“Two Generator Subgroups of Free Products with Commuting Subgroups” – with

G.Rosenberger and R.Weidmann –  J.Pure and Applied Algebra – Vol. 172 (2002)

 

“On Certain Equations in Free Groups” – with Gerhard Rosenberger and P. Csorgo –

Acta Sci. Mathematica 68 (2002) 95-105

 

“Groups Whose Universal Theory is Axiomatizable by Quasi-Identities”  – with A.Gaglione,

A.Myasnikov and D.Spellman –  J. of Group Theory  Vol. 5 (2002) 365-381

 

“Abelian Discriminating Groups”  – with A.Gaglione and D.Spellman –

Cont. Math. 296 (2002) 129-138

 

2003

 

“Malnormal Subgroups of Free Groups” – with A.Myasnikov and G.Rosenberger –

Communications in Algebra, Vol. 30, No. 9 (2003), 4155-4164

 

“The Elementary Theory of Groups”  – with A.Gaglione, A.Myasnikov, G. Rosenberger and

D.Spellman – Groups St Andrews 2001 – London Mat. Soc. Lecture Series Notes 304 – Cambridge University press  (2003) 197-232

 

2004

 

” The Axiomatic Closure of the Class of Discriminating groups”  – with A.Gaglione and                D.Spellman -Archiv. der Mathematik 83 (2004) 106-112.

 

“Discriminating and Squarelike groups: Part 1: Axiomatics ”  – with A.Gaglione and          D.Spellman – Contemporary Mathematics 360 (2004) 35-46 2005

 

2005

 

“On Center Curves and Rolling Circles” – Pi Mu Epsilon Journal, Volume 12 Number                    3  (2005) 139-142

 

“An Embedding Theorem for Groups Universally Equivalent to Free Nilpotent

Groups” – with A. Gaglione and D. Spellman – Groups St.

Andrews 2005 – London Math. Soc. Lecture Notes Series 339 pg.319-326

 

“Surface Groups: Motivating Examples in Combinatorial group Theory” – joint with

P.Ackermann and G. Rosenberger – Groups St. Andrews 2005 – London Math.                  Soc. Lecture Notes Series 339 pg.96-130 -2007

 

” Discriminating and Squarelike groups: Part 2: Examples ”  – with A.Gaglione and            D.Spellman – Houston J. Math. Vol. 31 No. 3 (2005) 649-673

 

2006

 

“Notions of Discrimination” – joint with A. Gaglione and D. Spellman  –                 – Communciations in Algebra Vol.24, No. 6, ( 2006) 2175-2182

 

“Cryptosystems Using Linear Groups” – with G.Baumslag and X. Xu – Applicable            Alegbra in Engineering,Communications and Computing (Springer) – (2006) 18-41

 

“Designing Key Transport Protocols Using Combinatorial Group Theory” – with

G.Baumslag,T.Camps, G.Rosenberger and X. Xu –  Cont. Math. 418 (2006) 35-43

 

“Discriminating Groups: A Comprehensive Overview” – with A. Gaglione, A.

Myasnikov and Dennis Spellman – CRM Preprints – 2006

 

“Cryptosystems Using Formal Power Series Rings” – with G.Baumslag, Y.

Bryukhov and Gerhard Rosenberger – CRM Preprints – 2006

 

 

2007

 

“A Public Key Cryptosystem Using the Modular Group” – with G.Baumslag and X.                      Xu – Cont. Math. 421 (2007) 35-44

 

“Malcev Completions and the NonDiscrimination of Nilpotent Groups” – – with G.

Baumslag, A. Gaglione and D. Spellman – Cont. Math. 421 (2007) 29-35

 

“Unions of Varieties and Quasivarieties” – with A. Gaglione and D. Spellman – Cont.                    Math. 421 (2007) 113-118

 

“Finitely Generated Infinite Torsion Groups and a Question of V.Dyson” –  with A.                      Gaglione and D. Spellman – Cont. Math. 421 (2007) 119-124

 

“Combinatorial Group Theory, Discrete Groups and Number Theory” – edited with A.                   Gaglione and D. Spellman – Contemporary Mathematics Series Vol. 421- AMS –       2007

 

“Reflections on Discriminating Groups” – with G. Baumslag, A. Gaglione and D.Spellman –

  1. Group Theory 10 (2007) 87-99

 

“A Classification of Conjugately Separated Abelian, Commuttaive Transitive and                          Restricted Gromov One-Relator Groups” – with A. Myasnikov,V. Gr, Rebel, and                      G.Rosenberger – Result. Math. 50 2007 183-193

 

2008

 

“The Fundamental Theorem of Algebra: Analytic, Algebraic and Topological                                 Proofs” –  Einardi Press – Mathematics Encyclopedia

 

“On the Surface Group Conjecture” ­- joint with O.Kharlampovich,A.Myasnikov, V.                      Remesslennikov and G. Rosenberger –  Scienta Math Series A 2008

 

“On Some Finiteness Properties in Infinite Groups” – with G.Baumslag, O.

Bogopolski, A.Gaglione, G.Rosenberger and D. Spellman – Alg. Coll. Vol.

15(1) 2008 1-22

 

“All Finite Generalized Tetrahedron Groups” – with  M. Hahn,

A.Hulpke, V.Grosse Rebel,G.Rosenberger and M. Scheer – Alg. Coll. Vol. 15(4) 2008

555-580

 

“The Tits Alternative for Spherical Generalized Tetrahedron Groups” – with A.Hulpke,                  V.Grosse Rebel and G.Rosenberger – Alg. Coll. Vol. 15(4) 2008 541-554

 

2009

 

“Generic Subgroups of Amalgams” – with A.Myasnikov and G.Rosenberger –

Groups, Complexity Cryptology, Vol. 1 (1) 2009, 51-61

 

“Some Cryptoprimitives for Noncommutative Algebraic Cryptography” – with G.Baumslag,

  1. Brjukhov and G.Rosenberger – in Aspects of Infinite Groups World Scientific \ Press – 2009 26-44

 

“Reflections on Commutative Transitivity” – with G.Rosenberger – in Aspects of Infinite

Groups World Scientific Press – 2009,  112-130

 

“Virtual Properties of Cyclically Pinched One-Relator Groups” – with G.Baumslag, C.Miller

and D. Troeger –  Int. J. of Algebra and Comp. Vol. 19 No. 2 (2009) 1-15

 

 

2010

 

“An Epic Drama: The Development of the Prime Number Theorem” – with G. Rosenberger –

Scientia: Series A – Mathematical Sciences Vol. 20  (2010) 1-26

 

“Password Security Using Combinatorial Group Theory” – with G.Baumslag, Y.Brjukhov

and D. Troeger –  J. Groups, Complexity  and Cryptology  Vol.2 No. 1 (2010) 67-82

 

“Lyndon Properties in One Relator Groups” –  with A. Rosenberger and G. Rosenberger –

Results in Mathematics -2012

 

“Discriminating Groups: An Overview” – with A.Gaglione, G.Rosenberger

and D.Spellman  – Proceedings of Groups St Andrews 2010

 

“On Asymptotic Densities and Generic Properties in Finitely Generated Groupss” – with C.

Carstensen and G.Rosenberger –  J. Group Theory, Complexity and Cryptology and

Vol. 2 (2010) 113-121

 

“Adolescent Concussions” – with Michael Lee M.D. –  Connecticut Medical Review – 2010

 

“On Lyndon’s equation in some Lambda-free groups and HNN Extensions” – with L.

Ciobanu and G. Rosenberger –J. Group Theory (2010) Vol.1 1-7

 

2011

 

“Surface Groups Within Baumslag Doubles “ – with G. Rosenberger –  Proceedings

Edinburgh Math Society – Vol. 54 (2011) 91-97

 

“Faithful Representations of Hyperbolic Limit Groups” – with G. Rosenberger

Journal Groups, Complexity and Cryptology – Vol.3 No.2  (2011) 349-355

 

“Aspects of NonCommutative Algebraic Cryptography” – with M.Habbeb, D.Kahrobaei and

G.Rosenberger –   JP Journal of Algebra and Number Theory – Vol. 21 No. 1    (2011) 1-40

 

“Quadratic Properties in Group Amalgams” –  with A. Rosenberger and G. Rosenberger –

  1. Group Theory (2011) 1-15

 

“Growth rate of an Endomorphism of a Group” – with K.J. Falconer and D.Kahrobaei –

Journal Groups, Complexity and Cryptology – Vol. 3 No. 2 (2011) 285-300

 

“The Tits Alternative for Short Generalized Tetrahedron Groups” with A.Hulpke, V.Grosse

Rebel, G.Rosenberger and S.Schauerte – Scientia Series A Vol. 21 (2011) 1-15

 

2012

 

“A Proposed Alternative to the Shamir Secret Sharing Scheme” with C.Chum, G.

Rosenberger and X. Zhang – Contemporary Mathematics 582 (2012) 47-51

 

“The Classification of One-Relator Limit Groups and the Surface Group Conjecture” with G.

Rosenberger – Contemporary Mathematics 582 (2012) 107-129

 

“All Finite Generalized Tetrahedron Groups” with A.Hulpke and G.Rosenberger  –

Contemporary Mathematics 582 (2012) 105-107

 

2013

 

“A Secret Sharing Scheme based on the Closest Vector Theorem and a modification to a

private key cryptosystem” with Moldenhauer, Anja I. S. / Rosenberger, Gerhard,

Groups, Complexity, Cryptology, Vol.2 223-227, 2013

 

“Faithful Representations of Limit Groups II” with G. Rosenberger –

  1. Groups,Complexity, Cryptology, 5, 2013, 91-96.

 

 

“The Surface Group Conjecture: Cyclically Pinched and Conjugacy Pinched One-Relator

Groups” with L. Ciobanu and G. Rosenberger – Results in Mathematics, 64, 1, (2013), 175-184

 

2014

 

“Tame Automorphisms of Elementary Free Groups” –  with

O.Kharlampovich, A.Myasnikov ,V. Remesslennikov, and G. Rosenberger , Comm. in Algebra,42, (2014) 3386-3394

 

“Faithful Real Representations of Cyclically Pinched One-Relator Groups” –  with

M.Kreuzer and G. Rosenberger, International Journal of Group Theory Vol.3 No. 1            (2014) 1-8

 

“Reflections on Some Aspects of Infinite Groups” – with A.Gaglione, G.Rosenberger and D.

Spellman – J. Groups, Complexity, Cryptology, 6,2014, 81-91

 

 

2015

 

“Elementary Free Groups” – with A.Gaglione, G.Rosenberger and D. Spellman –  Cont.

Math. 633, (2015) 41-58

 

“Something for Nothing: Some Consequences of the Solution of the Tarski Problems” –  with

A.Gaglione, G.Rosenberger and D. Spellman –  Proc. Of Groups St

Andrews 2013 – Cambridge University Press (2015)

 

“On Magnus’s Freiheitssatz and Free Polynomial Algebras”  –  with

M.Kreuzer and G. Rosenberger, International Journal of Group Theory

 

“Discrimination in a General Algebraic Setting” –  with A.Gaglione. S. Lipschutz and  D.

Spellman – Scientific World Journal, Special Issue on Logical Algebras and Hyper Algebras with Applications, 2015, 1-9

 

“The Tarksi Problems and their Solutions” – with A. Gaglione. G. Rosenberger and D.

Spellman, Advances in Pure Mathematics; Special Issue on Group theory, 5, 212-231, 2015

 

2016

 

“Classes of Groups Generalizing a Theorem of Benjamin Baumslag” – with L. Ciobanu and

  1. Rosenberger – Communications in Algebra 44:2 (2016) 656-667

 

“Test, Generic and Almost Primitive Elements in Free Products” – with A.K. Engel and G.

Rosenberger  Algebra Colloquium 23:2 (2016) 263-280

 

“On the generalized Hurwitz equations and the Baragar-Umeda equations” – with             G. Kern-Isberner,,A. I. S. Moldenhauer and G. Rosenberger, Results in Mathematics, 69(1) (2016) 69-92

 

“i as a Quadratic Residue in the Gaussian Integers” – with Gerhard Rosenberger , in:

Computational Models of Rationality Tributes Vol. 29 College Publications 2016,

23-31

 

“A Physical Method to Compute exp(x)” – Pi Mu Epsilon Journal – Vol. 14, No. 4, 2016,

255-260

 

“Linear Groups and Square Properties in Rings” – with Gerhard Rosenberger Journal of

Mathematical Sciences 3 (2016) 107-119

 

“On Top N Lists” – with M.Coleman, B.Mittag and M. Zabinski – submitted American

Statistician

 

“On CT and CSA Groups and Related Ideas” – A.Gaglione, G.Rosenberger and D.

Spellman – to appear Journal of Group Theory

 

“On Turner’s Theorem and First Order Theory” – with A.Gaglione, S. Lipschutz and

D.Spellman –to appear Communications in Algebra

 

“Shamir Threshold Scheme and Its Enhancements” – with C.Chum and X. Zhang – to appear

– Contemporary Mathematics

 

“Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA

Groups”- with A.Gaglione and D.Spellman – to appear Contemporary

Mathematics

 

“On CT and the CSA Property” –  with A.M. Gaglione, G. Rosenberger and D. Spellman –  to

appear Contemporary Mathematics

 

“On Secret Sharing protocols – with C.Chum, A. Moldenhauer, G. Rosneberger and X.

Zhang – to appear – Contemporary Mathematics 677 2016, 51-78

 

 

2017

 

“Cryptographic Protocols Based on Nielsen Transformations” – with Anja I. S. Moldenhauer2,

and Gerhard Rosenberger – Journal of Computer and Communications, 2016, 4, 63-107

 

“Linear Groups and Square Propeties in Rings” Journal of Mathematical Sciences 3 (2016)