Articles liés à On Groups of PL-homeomorphisms of the Real Line

On Groups of PL-homeomorphisms of the Real Line - Couverture rigide

Bieri, Robert; Strebel, Ralph

 
9781470429010: On Groups of PL-homeomorphisms of the Real Line
Couverture rigide
ISBN 10 : 1470429012 ISBN 13 : 9781470429010
Editeur : 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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

Ralph Strebel, Universite de Fribourg, Switzerland.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2016
Langue
anglais
ISBN 10 
1470429012
ISBN 13 
9781470429010
Reliure
Relié
Nombre de pages
174
Coordonnées du fabricant
non disponible
Personne responsable
non disponible