The Resource Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)

Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)

Label
Geometric Group Theory : An Introduction
Title
Geometric Group Theory
Title remainder
An Introduction
Statement of responsibility
by Clara Löh
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises
Member of
http://library.link/vocab/creatorName
Löh, Clara
Image bit depth
0
LC call number
QA174-183
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • Geometry, Differential
  • Geometry, Hyperbolic
  • Manifolds (Mathematics)
  • Complex manifolds
  • Graph theory
  • Mathematics
  • Group Theory and Generalizations
  • Differential Geometry
  • Hyperbolic Geometry
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Graph Theory
Label
Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Introduction -- Part I Groups -- 2 Generating groups -- Part II Groups > Geometry -- 3 Cayley graphs -- 4 Group actions -- 5 Quasi-isometry -- Part III Geometry of groups -- 6 Growth types of groups -- 7 Hyperbolic groups -- 8 Ends and boundaries -- 9 Amenable groups -- Part IV Reference material -- A Appendix -- Bibliography -- Indices
Dimensions
unknown
Extent
XI, 389 p. 119 illus., 100 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319722542
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-72254-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-72254-2
Label
Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Introduction -- Part I Groups -- 2 Generating groups -- Part II Groups > Geometry -- 3 Cayley graphs -- 4 Group actions -- 5 Quasi-isometry -- Part III Geometry of groups -- 6 Growth types of groups -- 7 Hyperbolic groups -- 8 Ends and boundaries -- 9 Amenable groups -- Part IV Reference material -- A Appendix -- Bibliography -- Indices
Dimensions
unknown
Extent
XI, 389 p. 119 illus., 100 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319722542
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-72254-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-72254-2

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