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The Resource Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)
Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)
Resource Information
The item Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 quasiisometry, a largescale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasigeometry 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
 Language
 eng
 Extent
 XI, 389 p. 119 illus., 100 illus. in color.
 Contents

 1 Introduction
 Part I Groups
 2 Generating groups
 Part II Groups > Geometry
 3 Cayley graphs
 4 Group actions
 5 Quasiisometry
 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
 Isbn
 9783319722542
 Label
 Geometric Group Theory : An Introduction
 Title
 Geometric Group Theory
 Title remainder
 An Introduction
 Statement of responsibility
 by Clara Löh
 Subject

 Manifolds (Mathematics)
 Group Theory and Generalizations
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Geometry, Differential
 Graph Theory
 Graph Theory
 Graph theory
 Manifolds (Mathematics)
 Graph theory
 Geometry, Differential
 Group theory
 Geometry, Hyperbolic
 Electronic resources
 Graph theory
 Mathematics
 Complex manifolds
 Graph Theory
 Differential Geometry
 Mathematics
 Manifolds (Mathematics)
 Hyperbolic Geometry
 Complex manifolds
 Group theory
 Geometry, Hyperbolic
 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 quasiisometry, a largescale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasigeometry 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
 http://library.link/vocab/creatorName
 Löh, Clara
 Image bit depth
 0
 LC call number
 QA174183
 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)
 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 Quasiisometry  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
 10.1007/9783319722542
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319722542
 Label
 Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)
 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 Quasiisometry  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
 10.1007/9783319722542
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319722542
Subject
 Complex manifolds
 Complex manifolds
 Differential Geometry
 Electronic resources
 Geometry, Differential
 Geometry, Differential
 Geometry, Hyperbolic
 Geometry, Hyperbolic
 Graph Theory
 Graph Theory
 Graph Theory
 Graph theory
 Graph theory
 Graph theory
 Group Theory and Generalizations
 Group theory
 Group theory
 Hyperbolic Geometry
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematics
 Mathematics
Member of
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