On groups of PL-homeomorphisms of the real line
著者
書誌事項
On groups of PL-homeomorphisms of the real line
（Mathematical surveys and monographs, v. 215）
American Mathematical Society, c2016
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注記
Includes bibliographical references (p. 163-165) and indexes
内容説明・目次
内容説明
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.
目次
Introduction
Construction of finitary PL-homeomorphisms
Generating sets
The subgroup of bounded homeomorphisms $B$
Presentations
Isomorphisms and automorphism groups
Notes
Bibliography
Index of notation
Subject index.
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