Robert Bieri and Ralph Strebel

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Robert Bieri and Ralph Strebel is written by Robert Bieri and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 1470429012 (ISBN 10) and 9781470429010 (ISBN 13).

Richard Thompson's famous group F has the striking property that it can be realized as a dense subgroup of the group of all orientation-preserving homeomorphisms of the unit interval, but it can also be given by a simple 2-generator-2-relator presentation, in fact as the fundamental group of an aspherical complex with only two cells in each dimension. This monograph studies a natural generalization of F that also includes Melanie Stein's generalized F-groups. The main aims of this monograph are the determination of isomorphisms among the generalized F -groups and the study of their automorphism groups. This book is aimed at graduate students (or teachers of graduate students) interested in a class of examples of torsion-free infinite groups with elements and composition that are easy to describe and work with, but have unusual properties and surprisingly small presentations in terms of generators and defining relations.