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Combinatorial and Geometric Group Theory
 
Edited by: Sean Cleary City College of New York, NY, NY
Robert Gilman Stevens Institute of Technology, Hoboken, NJ
Alexei G. Myasnikov City College of New York, NY, NY
Vladimir Shpilrain City College of New York, NY, NY
Combinatorial and Geometric Group Theory
eBook ISBN:  978-0-8218-7886-6
Product Code:  CONM/296.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Combinatorial and Geometric Group Theory
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Combinatorial and Geometric Group Theory
Edited by: Sean Cleary City College of New York, NY, NY
Robert Gilman Stevens Institute of Technology, Hoboken, NJ
Alexei G. Myasnikov City College of New York, NY, NY
Vladimir Shpilrain City College of New York, NY, NY
eBook ISBN:  978-0-8218-7886-6
Product Code:  CONM/296.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2962002; 275 pp
    MSC: Primary 20; 57; 03

    This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory.

    Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compact Riemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory.

    The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.

    Readership

    Graduate students and research mathematicians interested in combinatorial and geometric group theory.

  • Table of Contents
     
     
    • Articles
    • Gilbert Baumslag, Alexei G. Myasnikov and Vladimir Shpilrain — Open problems in combinatorial group theory. Second edition [ MR 1921705 ]
    • Ilya Kapovich and Nadia Benakli — Boundaries of hyperbolic groups [ MR 1921706 ]
    • Patrick Dehornoy — Thin groups of fractions [ MR 1921707 ]
    • Anthony M. Gaglione, Dennis Spellman and Benjamin Fine — Every abelian group universally equivalent to a discriminating group is elementarily equivalent to a discriminating group [ MR 1921708 ]
    • S. V. Ivanov — Weakly finitely presented infinite periodic groups [ MR 1921709 ]
    • Bilal Khan — Positively generated subgroups of free groups and the Hanna Neumann conjecture [ MR 1921710 ]
    • Andy R. Magid — On the proalgebraic completion of a finitely generated group [ MR 1921711 ]
    • Alexei D. Myasnikov, Alexei G. Myasnikov and Vladimir Shpilrain — On the Andrews-Curtis equivalence [ MR 1921712 ]
    • Charles F. Rocca, Jr. and Edward C. Turner — Test ranks of finitely generated abelian groups [ MR 1922274 ]
    • Gerhard Rosenberger and Martin Scheer — Classification of the finite generalized tetrahedron groups [ MR 1922275 ]
    • E. Ventura — Fixed subgroups in free groups: a survey [ MR 1922276 ]
    • Anthony Weaver — Automorphisms of surfaces [ MR 1922277 ]
  • 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
Volume: 2962002; 275 pp
MSC: Primary 20; 57; 03

This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory.

Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compact Riemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory.

The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.

Readership

Graduate students and research mathematicians interested in combinatorial and geometric group theory.

  • Articles
  • Gilbert Baumslag, Alexei G. Myasnikov and Vladimir Shpilrain — Open problems in combinatorial group theory. Second edition [ MR 1921705 ]
  • Ilya Kapovich and Nadia Benakli — Boundaries of hyperbolic groups [ MR 1921706 ]
  • Patrick Dehornoy — Thin groups of fractions [ MR 1921707 ]
  • Anthony M. Gaglione, Dennis Spellman and Benjamin Fine — Every abelian group universally equivalent to a discriminating group is elementarily equivalent to a discriminating group [ MR 1921708 ]
  • S. V. Ivanov — Weakly finitely presented infinite periodic groups [ MR 1921709 ]
  • Bilal Khan — Positively generated subgroups of free groups and the Hanna Neumann conjecture [ MR 1921710 ]
  • Andy R. Magid — On the proalgebraic completion of a finitely generated group [ MR 1921711 ]
  • Alexei D. Myasnikov, Alexei G. Myasnikov and Vladimir Shpilrain — On the Andrews-Curtis equivalence [ MR 1921712 ]
  • Charles F. Rocca, Jr. and Edward C. Turner — Test ranks of finitely generated abelian groups [ MR 1922274 ]
  • Gerhard Rosenberger and Martin Scheer — Classification of the finite generalized tetrahedron groups [ MR 1922275 ]
  • E. Ventura — Fixed subgroups in free groups: a survey [ MR 1922276 ]
  • Anthony Weaver — Automorphisms of surfaces [ MR 1922277 ]
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
Please select which format for which you are requesting permissions.