Overview

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.

Full Product Details

Author:   Sean Cleary ,  Robert Gilman ,  Alexei G. Myasnikov
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated edition
Volume:   No. 296
Weight:   0.510kg
ISBN:  

9780821828229

ISBN 10:   0821828223
Pages:   275
Publication Date:   30 June 2002
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Open problems in combinatorial group theory. Second edition by G. Baumslag, A. G. Myasnikov, and V. Shpilrain Boundaries of hyperbolic groups by I. Kapovich and N. Benakli Thin groups of fractions by P. Dehomoy Every abelian group universally equivalent to a discriminating group is elementarily equivalent to a discriminating group by A. M. Gaglione, D. Spellman, and B. Fine Weakly finitely presented infinite periodic groups by S. V. Ivanov Positively generated subgroups of free groups and the Hanna Neumann conjecture by B. Khan On the proalgebraic completion of a finitely generated group by A. R. Magid On the Andrews-Curtis equivalence by A. D. Myasnikov, A. G. Myasnikov, and V. Shpilrain Test ranks of finitely generated abelian groups by C. F. Rocca, Jr. and E. C. Turner Classification of the finite generalized tetrahedron groups by G. Rosenberger and M. Scheer Fixed subgroups in free groups: A survey by E. Ventura Automorphisms of surfaces by A. Weaver.

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