Items related to On Groups of Pl-Homeomorphisms of the Real Line (Mathematica...

On Groups of Pl-Homeomorphisms of the Real Line (Mathematical Surveys and Monographs) - Hardcover

Bieri, Robert; Strebel, Ralph

 
9781470429010: On Groups of Pl-Homeomorphisms of the Real Line (Mathematical Surveys and Monographs)
Hardcover
ISBN 10: 1470429012 ISBN 13: 9781470429010
Publisher: American Mathematical Society, 2016

Synopsis

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.

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About the Author

Robert Bieri, Johann Wolfgang Goethe-Universitat Frankfurt, Frankurt am Main, Germany.

Ralph Strebel, Universite de Fribourg, Switzerland.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2016
Language
English
ISBN 10 
1470429012
ISBN 13 
9781470429010
Binding
Hardcover
Number of pages
174