skip to content
Geometric group theory : an introduction Preview this item
ClosePreview this item
Checking...

Geometric group theory : an introduction

Author: Clara Löh
Publisher: Cham, Switzerland : Springer, 2017.
Series: Universitext
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Clara Löh
ISBN: 9783319722542 3319722549
OCLC Number: 1017988852
Description: 1 online resource (xi, 389 pages) : illustrations (some color).
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.
Series Title: Universitext
Responsibility: Clara Löh.

Abstract:

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.  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(1)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1017988852> # Geometric group theory : an introduction
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "1017988852" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/4708482997#Topic/geometric_group_theory> ; # Geometric group theory
    schema:about <http://dewey.info/class/512.2/e23/> ;
    schema:author <http://experiment.worldcat.org/entity/work/data/4708482997#Person/loh_clara> ; # Clara Löh
    schema:bookFormat schema:EBook ;
    schema:datePublished "2017" ;
    schema:description "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."@en ;
    schema:description "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.--"@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/4708482997> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0172-5939> ; # Universitext,
    schema:name "Geometric group theory : an introduction"@en ;
    schema:productID "1017988852" ;
    schema:url <http://link.springer.com/10.1007/978-3-319-72254-2> ;
    schema:url <http://proxy.ohiolink.edu:9099/login?url=http://link.springer.com/10.1007/978-3-319-72254-2> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/book/10.1007/978-3-319-72254-2> ;
    schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-72254-2> ;
    schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-319-72253-5> ;
    schema:url <http://dx.doi.org/10.1007/978-3-319-72254-2> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/978-3-319-72254-2> ;
    schema:url <http://rave.ohiolink.edu/ebooks/ebc/9783319722542> ;
    schema:workExample <http://worldcat.org/isbn/9783319722542> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-319-72254-2> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1017988852> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/4708482997#Person/loh_clara> # Clara Löh
    a schema:Person ;
    schema:familyName "Löh" ;
    schema:givenName "Clara" ;
    schema:name "Clara Löh" ;
    .

<http://experiment.worldcat.org/entity/work/data/4708482997#Topic/geometric_group_theory> # Geometric group theory
    a schema:Intangible ;
    schema:name "Geometric group theory"@en ;
    .

<http://link.springer.com/10.1007/978-3-319-72254-2>
    rdfs:comment "Connect to resource" ;
    .

<http://rave.ohiolink.edu/ebooks/ebc/9783319722542>
    rdfs:comment "Connect to resource" ;
    .

<http://worldcat.org/isbn/9783319722542>
    a schema:ProductModel ;
    schema:isbn "3319722549" ;
    schema:isbn "9783319722542" ;
    .

<http://worldcat.org/issn/0172-5939> # Universitext,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1017988852> ; # Geometric group theory : an introduction
    schema:issn "0172-5939" ;
    schema:name "Universitext," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.