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OverviewRichard 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. Full Product DetailsAuthor: Robert Bieri , Ralph StrebelPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.495kg ISBN: 9781470429010ISBN 10: 1470429012 Pages: 174 Publication Date: 30 November 2016 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction 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.ReviewsAuthor InformationRobert Bieri, Johann Wolfgang Goethe-Universitat Frankfurt, Frankurt am Main, Germany. Ralph Strebel, Universite de Fribourg, Switzerland. Tab Content 6Author Website:Countries AvailableAll regions |
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