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 European University Institute.This item is available to borrow from 1 library branch.
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 European University Institute.
This item is available to borrow from 1 library branch.
 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
 1 online resource (XI, 389 pages)
 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
 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Löh, Clara
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer eBooks
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Differential geometry
 Hyperbolic geometry
 Manifolds (Mathematics)
 Complex manifolds
 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
 Control code
 9783319722542
 Dimensions
 unknown
 Extent
 1 online resource (XI, 389 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 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
 119 illustrations, 100 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1017988852
 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
 Control code
 9783319722542
 Dimensions
 unknown
 Extent
 1 online resource (XI, 389 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 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
 119 illustrations, 100 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1017988852
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/GeometricGroupTheoryAnIntroductionby/9FEMW0wESGc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/GeometricGroupTheoryAnIntroductionby/9FEMW0wESGc/">Geometric Group Theory : An Introduction, by Clara Löh, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>