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Combinatorial Group Theory, Discrete Groups, and Number Theory

Edited by: Benjamin Fine Fairfield University, Fairfield, CT
Anthony M. Gaglione U.S. Naval Academy, Annapolis, MD
Dennis Spellman Temple University, Philadelphia, PA
Available Formats:
Softcover ISBN: 978-0-8218-3985-0
Product Code: CONM/421
273 pp
List Price: $92.00 MAA Member Price:$82.80
AMS Member Price: $73.60 Electronic ISBN: 978-0-8218-8100-2 Product Code: CONM/421.E 273 pp List Price:$86.00
MAA Member Price: $77.40 AMS Member Price:$68.80
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List Price: $138.00 MAA Member Price:$124.20
AMS Member Price: $110.40 Click above image for expanded view Combinatorial Group Theory, Discrete Groups, and Number Theory Edited by: Benjamin Fine Fairfield University, Fairfield, CT Anthony M. Gaglione U.S. Naval Academy, Annapolis, MD Dennis Spellman Temple University, Philadelphia, PA Available Formats:  Softcover ISBN: 978-0-8218-3985-0 Product Code: CONM/421 273 pp  List Price:$92.00 MAA Member Price: $82.80 AMS Member Price:$73.60
 Electronic ISBN: 978-0-8218-8100-2 Product Code: CONM/421.E 273 pp
 List Price: $86.00 MAA Member Price:$77.40 AMS Member Price: $68.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$138.00
MAA Member Price: $124.20 AMS Member Price:$110.40
• Book Details

Contemporary Mathematics
Volume: 4212007
MSC: Primary 01; 03; 20;

This volume consists of contributions by participants and speakers at two conferences. The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8–9, 2004. It was in honor of Professor Gerhard Rosenberger's sixtieth birthday. The second was the AMS Special Session on Infinite Group Theory held at Bard College, October 8–9, 2005. The papers in this volume provide a very interesting mix of combinatorial group theory, discrete group theory and ring theory as well as contributions to noncommutative algebraic cryptography.

Graduate students and research mathematicians interested in group theory.

• Articles
• Peter Ackermann - A description of the arithmetic Fuchsian groups with signature $(2;-)$ [ MR 2303820 ]
• R. B. J. T. Allenby, Goansu Kim and C. Y. Tang - Outer automorphism groups of certain orientable Seifert 3-manifold groups [ MR 2303821 ]
• Michael Anshel and Anthony M. Gaglione - The search for origins of the commutator calculus [ MR 2303822 ]
• G. Baumslag, B. Fine, A. M. Gaglione and D. Spellman - A note on nondiscrimination of nilpotent groups and Mal′cev completions [ MR 2303823 ]
• Gilbert Baumslag, Benjamin Fine and Xiaowei Xu - A proposed public key cryptosystem using the modular group [ MR 2303824 ]
• Holger Bluhm and Martin Kreuzer - Gröbner basis techniques in the computation of two-sided syzygies [ MR 2303825 ]
• Marston Conder and Peter Dobcsányi - Normal subgroups of the modular group and other Hecke groups [ MR 2303826 ]
• Osnel Broche Cristo and César Polcino Milies - Commutativity of units in group rings [ MR 2303827 ]
• Martin J. Evans - Presentations of groups involving more generators than are necessary. II [ MR 2303828 ]
• Benjamin Fine, Anthony M. Gaglione and Dennis Spellman - Unions of varieties and quasivarieties [ MR 2303829 ]
• Benjamin Fine, Anthony M. Gaglione and Dennis Spellman - Finitely presented infinite torsion groups and a question of V. H. Dyson [ MR 2303830 ]
• Ana Fonseca and Richard M. Thomas - Context-free irreducible word problems in groups [ MR 2303831 ]
• David Garrison, Luise-Charlotte Kappe and Denise Yull - Autocommutators and the autocommutator subgroup [ MR 2303832 ]
• Jane Gilman - Informative words and discreteness [ MR 2303833 ]
• Richard Goldstein - An algorithm for potentially positive words in $F_2$ [ MR 2303834 ]
• Gabriele Kern-Isberner - Using group theory for knowledge representation and discovery [ MR 2303836 ]
• Martin Kreuzer, Alexei Myasnikov, Gerhard Rosenberger and Alexander Ushakov - Quotient tests and Gröbner bases [ MR 2303835 ]
• L. A. Kurdachenko and I. Ya. Subbotin - Transitivity of normality and pronormal subgroups [ MR 2303837 ]
• C. Maclachlan - Torsion in maximal arithmetic Fuchsian groups [ MR 2303838 ]
• Stephen Majewicz - Nilpotent $\Bbb Q[x]$-powered groups [ MR 2303839 ]
• Robert Fitzgerald Morse - On the Rosenberger monster [ MR 2303840 ]
• Chuck F. Rocca, Jr. - Density of test elements in finite abelian groups [ MR 2303841 ]
• Richard Weidmann - Adjoining a root does not decrease the rank [ MR 2303842 ]

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Volume: 4212007
MSC: Primary 01; 03; 20;

This volume consists of contributions by participants and speakers at two conferences. The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8–9, 2004. It was in honor of Professor Gerhard Rosenberger's sixtieth birthday. The second was the AMS Special Session on Infinite Group Theory held at Bard College, October 8–9, 2005. The papers in this volume provide a very interesting mix of combinatorial group theory, discrete group theory and ring theory as well as contributions to noncommutative algebraic cryptography.

Graduate students and research mathematicians interested in group theory.

• Articles
• Peter Ackermann - A description of the arithmetic Fuchsian groups with signature $(2;-)$ [ MR 2303820 ]
• R. B. J. T. Allenby, Goansu Kim and C. Y. Tang - Outer automorphism groups of certain orientable Seifert 3-manifold groups [ MR 2303821 ]
• Michael Anshel and Anthony M. Gaglione - The search for origins of the commutator calculus [ MR 2303822 ]
• G. Baumslag, B. Fine, A. M. Gaglione and D. Spellman - A note on nondiscrimination of nilpotent groups and Mal′cev completions [ MR 2303823 ]
• Gilbert Baumslag, Benjamin Fine and Xiaowei Xu - A proposed public key cryptosystem using the modular group [ MR 2303824 ]
• Holger Bluhm and Martin Kreuzer - Gröbner basis techniques in the computation of two-sided syzygies [ MR 2303825 ]
• Marston Conder and Peter Dobcsányi - Normal subgroups of the modular group and other Hecke groups [ MR 2303826 ]
• Osnel Broche Cristo and César Polcino Milies - Commutativity of units in group rings [ MR 2303827 ]
• Martin J. Evans - Presentations of groups involving more generators than are necessary. II [ MR 2303828 ]
• Benjamin Fine, Anthony M. Gaglione and Dennis Spellman - Unions of varieties and quasivarieties [ MR 2303829 ]
• Benjamin Fine, Anthony M. Gaglione and Dennis Spellman - Finitely presented infinite torsion groups and a question of V. H. Dyson [ MR 2303830 ]
• Ana Fonseca and Richard M. Thomas - Context-free irreducible word problems in groups [ MR 2303831 ]
• David Garrison, Luise-Charlotte Kappe and Denise Yull - Autocommutators and the autocommutator subgroup [ MR 2303832 ]
• Jane Gilman - Informative words and discreteness [ MR 2303833 ]
• Richard Goldstein - An algorithm for potentially positive words in $F_2$ [ MR 2303834 ]
• Gabriele Kern-Isberner - Using group theory for knowledge representation and discovery [ MR 2303836 ]
• Martin Kreuzer, Alexei Myasnikov, Gerhard Rosenberger and Alexander Ushakov - Quotient tests and Gröbner bases [ MR 2303835 ]
• L. A. Kurdachenko and I. Ya. Subbotin - Transitivity of normality and pronormal subgroups [ MR 2303837 ]
• C. Maclachlan - Torsion in maximal arithmetic Fuchsian groups [ MR 2303838 ]
• Stephen Majewicz - Nilpotent $\Bbb Q[x]$-powered groups [ MR 2303839 ]
• Robert Fitzgerald Morse - On the Rosenberger monster [ MR 2303840 ]
• Chuck F. Rocca, Jr. - Density of test elements in finite abelian groups [ MR 2303841 ]
• Richard Weidmann - Adjoining a root does not decrease the rank [ MR 2303842 ]
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