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Geometric Methods in Group Theory
Edited by: José Burillo, Universitat Politècnica de Catalunya, Barcelona, Spain, Sean Cleary, The City College of New York (CUNY), NY, Murray Elder, University of St. Andrews, Fife, Scotland, Jennifer Taback, Bowdoin College, Brunswick, ME, and Enric Ventura, Universitat Politècnica de Catalunya, Barcelona, Spain

Contemporary Mathematics
2005; 230 pp; softcover
Volume: 372
ISBN-10: 0-8218-3362-6
ISBN-13: 978-0-8218-3362-9
List Price: US$80
Member Price: US$64
Order Code: CONM/372
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This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain). The expository and survey articles in the book cover a wide range of topics, making it suitable for researchers and graduate students interested in group theory.


Graduate students and research mathematicians interested in group theory.

Table of Contents

  • M. Cárdenas and F. F. Lasheras -- Properly 3-realizable groups: a survey
  • A. Martino and S. O Rourke -- Free actions on \(\mathbb{Z}^n\)-trees: a survey
  • G. Levitt -- Characterizing rigid simplicial actions on trees
  • J. González-Meneses -- Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups
  • E. Godelle and L. Paris -- On singular Artin monoids
  • O. Bogopolski -- A surface groups analogue of a theorem of Magnus
  • V. Addepalli and E. C. Turner -- Shift automorphisms of finite order
  • V. Shpilrain -- Counting primitive elements of a free group
  • R. Weidmann -- A rank formula for amalgamated products with finite amalgam
  • D. Kahrobaei -- A simple proof of a theorem of Karrass and Solitar
  • S. W. Margolis, J. Meakin, and Z. Šuniḱ -- Distortion functions and the membership problem for submonoids of groups and monoids
  • J. Belk and K.-U. Bux -- Thompson's group \(F\) is maximally nonconvex
  • S. Cleary and J. Taback -- Seesaw words in Thompson's group \(F\)
  • X. Martin -- Piecewise-projective representation of Thompson's group \(T\)
  • T. Dymarz -- Bijective quasi-isometries of amenable groups
  • I. Bumagin -- On definitions of relatively hyperbolic groups
  • G. Baumslag -- Embedding wreath-like products in finitely presented groups. I
  • S. Cleary and J. Taback -- Metric properties of the lamplighter group as an automata group
  • F. Dahmani -- An example of non-contracting weakly branch automaton group
  • A. Akhmedov -- Travelling salesman problem in groups
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