skip to content
Fusion systems in algebra and topology Preview this item
ClosePreview this item
Checking...

Fusion systems in algebra and topology

Author: Michael Aschbacher; Radha Kessar; Robert Oliver
Publisher: Cambridge ; New York : Cambridge University Press, 2011.
Series: London Mathematical Society lecture note series, 391.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy  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
Additional Physical Format: Print version:
Aschbacher, Michael, 1944-
Fusion systems in algebra and topology.
Cambridge ; New York : Cambridge University Press, 2011
(DLC) 2011019266
(OCoLC)727702110
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael Aschbacher; Radha Kessar; Robert Oliver
ISBN: 1139003844 9781139003841 9781139099868 1139099868 9781139101844 1139101846 9781139101189 1139101188
OCLC Number: 793899285
Description: 1 online resource (vi, 320 pages) : illustrations.
Contents: 1. Introduction to fusion systems --
2. The local theory of fusion systems --
3. Fusion and homotopy theory --
4. Fusion and representation theory --
Appendix A. Background facts about groups.
Series Title: London Mathematical Society lecture note series, 391.
Responsibility: Michael Aschbacher, Radha Kessar, Bob Oliver.
More information:

Abstract:

This book combines a detailed exposition of the basics of fusion systems with a survey of the current state of the field.  Read more...

Reviews

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

Tags

Be the first.
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/793899285> # Fusion systems in algebra and topology
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "793899285" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/905312815#Place/cambridge> ; # Cambridge
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/905312815#Topic/mathematics_algebra_general> ; # MATHEMATICS--Algebra--General
    schema:about <http://experiment.worldcat.org/entity/work/data/905312815#Topic/p_gruppe> ; # p-Gruppe
    schema:about <http://id.worldcat.org/fast/868974> ; # Combinatorial group theory
    schema:about <http://id.worldcat.org/fast/804941> ; # Algebraic topology
    schema:about <http://experiment.worldcat.org/entity/work/data/905312815#Topic/homotopietheorie> ; # Homotopietheorie
    schema:about <http://dewey.info/class/512.2/e23/> ;
    schema:about <http://id.worldcat.org/fast/1152684> ; # Topological groups
    schema:about <http://experiment.worldcat.org/entity/work/data/905312815#Topic/darstellungstheorie> ; # Darstellungstheorie
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/165409930> ; # Robert Oliver
    schema:contributor <http://viaf.org/viaf/171173331> ; # Radha Kessar
    schema:creator <http://viaf.org/viaf/108167780> ; # Michael Aschbacher
    schema:datePublished "2011" ;
    schema:description "1. Introduction to fusion systems -- 2. The local theory of fusion systems -- 3. Fusion and homotopy theory -- 4. Fusion and representation theory -- Appendix A. Background facts about groups."@en ;
    schema:description ""A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"--"@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/905312815> ;
    schema:genre "Electronic books"@en ;
    schema:image <http://assets.cambridge.org/97811076/01000/cover/9781107601000.jpg> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/905312815#Series/london_mathematical_society_lecture_note_series> ; # London Mathematical Society lecture note series ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/727702110> ;
    schema:name "Fusion systems in algebra and topology"@en ;
    schema:productID "793899285" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/793899285#PublicationEvent/cambridge_new_york_cambridge_university_press_2011> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/905312815#Agent/cambridge_university_press> ; # Cambridge University Press
    schema:url <http://site.ebrary.com/id/10576305> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=375975> ;
    schema:url <http://www.myilibrary.com?id=471816> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=802953> ;
    schema:url <http://dx.doi.org/10.1017/CBO9781139003841> ;
    schema:url <https://doi.org/10.1017/CBO9781139003841> ;
    schema:workExample <http://worldcat.org/isbn/9781139099868> ;
    schema:workExample <http://worldcat.org/isbn/9781139101844> ;
    schema:workExample <http://worldcat.org/isbn/9781139003841> ;
    schema:workExample <http://worldcat.org/isbn/9781139101189> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/793899285> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/905312815#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
    schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/905312815#Series/london_mathematical_society_lecture_note_series> # London Mathematical Society lecture note series ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/793899285> ; # Fusion systems in algebra and topology
    schema:name "London Mathematical Society lecture note series ;" ;
    schema:name "London mathematical society lecture note series ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/905312815#Topic/darstellungstheorie> # Darstellungstheorie
    a schema:Intangible ;
    schema:name "Darstellungstheorie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/905312815#Topic/mathematics_algebra_general> # MATHEMATICS--Algebra--General
    a schema:Intangible ;
    schema:name "MATHEMATICS--Algebra--General"@en ;
    .

<http://id.worldcat.org/fast/1152684> # Topological groups
    a schema:Intangible ;
    schema:name "Topological groups"@en ;
    .

<http://id.worldcat.org/fast/804941> # Algebraic topology
    a schema:Intangible ;
    schema:name "Algebraic topology"@en ;
    .

<http://id.worldcat.org/fast/868974> # Combinatorial group theory
    a schema:Intangible ;
    schema:name "Combinatorial group theory"@en ;
    .

<http://viaf.org/viaf/108167780> # Michael Aschbacher
    a schema:Person ;
    schema:birthDate "1944" ;
    schema:familyName "Aschbacher" ;
    schema:givenName "Michael" ;
    schema:name "Michael Aschbacher" ;
    .

<http://viaf.org/viaf/165409930> # Robert Oliver
    a schema:Person ;
    schema:birthDate "1949" ;
    schema:familyName "Oliver" ;
    schema:givenName "Robert" ;
    schema:name "Robert Oliver" ;
    .

<http://viaf.org/viaf/171173331> # Radha Kessar
    a schema:Person ;
    schema:familyName "Kessar" ;
    schema:givenName "Radha" ;
    schema:name "Radha Kessar" ;
    .

<http://worldcat.org/isbn/9781139003841>
    a schema:ProductModel ;
    schema:isbn "1139003844" ;
    schema:isbn "9781139003841" ;
    .

<http://worldcat.org/isbn/9781139099868>
    a schema:ProductModel ;
    schema:isbn "1139099868" ;
    schema:isbn "9781139099868" ;
    .

<http://worldcat.org/isbn/9781139101189>
    a schema:ProductModel ;
    schema:isbn "1139101188" ;
    schema:isbn "9781139101189" ;
    .

<http://worldcat.org/isbn/9781139101844>
    a schema:ProductModel ;
    schema:isbn "1139101846" ;
    schema:isbn "9781139101844" ;
    .

<http://www.worldcat.org/oclc/727702110>
    a schema:CreativeWork ;
    rdfs:label "Fusion systems in algebra and topology." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/793899285> ; # Fusion systems in algebra and topology
    .

<https://doi.org/10.1017/CBO9781139003841>
    rdfs:comment "from Cambridge Books Online" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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