The Resource On groups of PL-homeomorphisms of the real line, Robert Bieri, Ralph Strebel

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

Label
On groups of PL-homeomorphisms of the real line
Title
On groups of PL-homeomorphisms of the real line
Statement of responsibility
Robert Bieri, Ralph Strebel
Creator
Contributor
Author
Subject
Language
eng
Summary
"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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Bieri, Robert
Dewey number
512/.2
Illustrations
illustrations
Index
index present
LC call number
QA614
LC item number
.B54 2016
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1944-
http://library.link/vocab/relatedWorkOrContributorName
Strebel, Ralph
Series statement
Mathematical surveys and monographs
Series volume
volume 215
http://library.link/vocab/subjectName
  • Homeomorphisms
  • Geometric group theory
  • Numbers, Real
  • Dimension theory (Algebra)
  • Group theory and generalizations -- Research exposition (monographs, survey articles)
  • Group theory and generalizations -- Structure and classification of infinite or finite groups -- Simple groups
  • Group theory and generalizations -- Structure and classification of infinite or finite groups -- Automorphisms of infinite groups
  • Group theory and generalizations -- Special aspects of infinite or finite groups -- Generators, relations, and presentations
  • Group theory and generalizations -- Special aspects of infinite or finite groups -- Other groups related to topology or analysis
  • Dimension theory (Algebra)
  • Geometric group theory
  • Homeomorphisms
  • Numbers, Real
Label
On groups of PL-homeomorphisms of the real line, Robert Bieri, Ralph Strebel
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 163-165) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Construction of finitary PL-homeomorphisms -- Generating sets -- The subgroup of bounded homeomorphisms B -- Presentations -- Isomorphisms and automorphism groups
Dimensions
27 cm.
Extent
xvii, 174 pages
Isbn
9781470429010
Lccn
2016025287
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)951190270
  • (OCoLC)ocn951190270
Label
On groups of PL-homeomorphisms of the real line, Robert Bieri, Ralph Strebel
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 163-165) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Construction of finitary PL-homeomorphisms -- Generating sets -- The subgroup of bounded homeomorphisms B -- Presentations -- Isomorphisms and automorphism groups
Dimensions
27 cm.
Extent
xvii, 174 pages
Isbn
9781470429010
Lccn
2016025287
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)951190270
  • (OCoLC)ocn951190270

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