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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
Combinatorial Group Theory, Discrete Groups, and Number Theory
eBook ISBN:  978-0-8218-8100-2
Product Code:  CONM/421.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Combinatorial Group Theory, Discrete Groups, and Number Theory
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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
eBook ISBN:  978-0-8218-8100-2
Product Code:  CONM/421.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 421; 2007; 273 pp
    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.
    Readership

    Graduate students and research mathematicians interested in group theory.
  • Table of Contents
     
     
    • 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 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 421; 2007; 273 pp
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.
Readership

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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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