On groups of PL-homeomorphisms of the real line / Robert Bieri, Ralph Strebel.

Author
Bieri, Robert [Browse]
Format
Book
Language
English
Published/​Created
  • Providence, Rhode Island : American Mathematical Society, [2016]
  • ©2016
Description
xvii, 174 pages : illustrations ; 27 cm.

Details

Subject(s)
Author
Series
  • Mathematical surveys and monographs ; no. 215. [More in this series]
  • Mathematical surveys and monographs ; volume 215
Summary note
"Richard Thompson's famous group FF 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 FF that also includes Melanie Stein's generalized FF-groups. The main aims of this monograph are the determination of isomorphisms among the generalized FF-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"--Back cover.
Bibliographic references
Includes bibliographical references (pages 163-165) and index.
Contents
Construction of finitary PL-homeomorphisms -- Generating sets -- The subgroup of bounded homeomorphisms B -- Presentations -- Isomorphisms and automorphism groups.
Other format(s)
Also available in an electronic version.
ISBN
  • 9781470429010 (hardcover : alkaline paper)
  • 1470429012 (hardcover : alkaline paper)
LCCN
2016025287
OCLC
951190270
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