**Contemporary Mathematics**

Volume: 109;
1990;
191 pp;
Softcover

MSC: Primary 20;

Print ISBN: 978-0-8218-5116-6

Product Code: CONM/109

List Price: $49.00

Individual Member Price: $39.20

**Electronic ISBN: 978-0-8218-7697-8
Product Code: CONM/109.E**

List Price: $49.00

Individual Member Price: $39.20

# Combinatorial Group Theory

Share this page *Edited by *
*Benjamin Fine; Francis Chi-Yu Tang; Anthony M. Gaglione*

The AMS Special Session on Combinatorial Group
Theory—Infinite Groups, held at the University of Maryland in
April 1988, was designed to draw together researchers in various areas
of infinite group theory, especially combinatorial group theory, to
share methods and results. The session reflected the vitality and
interests in infinite group theory, with eighteen speakers presenting
lectures covering a wide range of group-theoretic topics, from purely
logical questions to geometric methods. The heightened interest in
classical combinatorial group theory was reflected in the sheer volume
of work presented during the session.

This book consists of
eighteen papers presented during the session. Comprising a mix of pure
research and exposition, the papers should be sufficiently
understandable to the nonspecialist to convey a sense of the direction
of this field. However, the volume will be of special interest to
researchers in infinite group theory and combinatorial group theory,
as well as to those interested in low-dimensional (especially
three-manifold) topology.

#### Table of Contents

# Table of Contents

## Combinatorial Group Theory

- Contents ix10 free
- Preface xi12 free
- Some Reflections on Finitely Generated Metabelian Groups 114 free
- Conjugacy Separability of Fuchsian Groups and Related Questions 1124
- Two-Generator Subgroups of Certain HNN Groups 1932
- A Geometric Approach to Some Group Presentations 2538
- Yn+I (F) and F /Yn+I (F) Revisited 3548
- The Commutator Collection Process 4356
- Levi-Properties in Metabelian Groups 5972
- Monodromy Groups of Differential Equations on Riemann Surfaces of Genus 1 7386
- The Lie Algebra Associated to the Lower Central Series of a Free Product of Cyclic Groups of Prime Order p 91104
- Algebraic Closure of Groups 99112
- Automorphisms of Riemann Surfaces 107120
- On Commutator Laws in Groups, 2 113126
- Two-Dimensional Linear Characters and Automorphisms of Free Groups 131144
- On the Uniqueness of Amalgamated Product Decompositions of a Group 139152
- The Cartesian Subgroup of a Free Product of Profinite Groups 147160
- A Note on Local Coboundaries for Locally Nilpotent Groups 159172
- Some Results on 1-Relator Quotients of Free Products 165178
- Covering Spaces, Subgroup Separability, and the Generalized M. Hall Property 179192