View in EDS PDF Full Text

The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

Saved in:
Bibliographic Details
Title: The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
Description: This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.
Authors: John N. Bray, Derek F. Holt, Colva M. Roney-Dougal
Resource Type: eBook.
Subjects: Maximal subgroups, Finite groups
Categories: MATHEMATICS / Algebra / Intermediate
Database: eBook Academic Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: e000xww
DbLabel: eBook Academic Collection (EBSCOhost)
An: 592736
RelevancyScore: 1051
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1050.81640625
IllustrationInfo
ImageInfo – Size: thumb
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$592736$PDF&s=r
– Size: medium
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$592736$PDF&s=d
Items – Name: Title
  Label: Title
  Group: Ti
  Data: The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22John+N%2E+Bray%22">John N. Bray</searchLink><br /><searchLink fieldCode="AR" term="%22Derek+F%2E+Holt%22">Derek F. Holt</searchLink><br /><searchLink fieldCode="AR" term="%22Colva+M%2E+Roney-Dougal%22">Colva M. Roney-Dougal</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Maximal+subgroups%22">Maximal subgroups</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+groups%22">Finite groups</searchLink>
– Name: SubjectBISAC
  Label: Categories
  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Intermediate%22">MATHEMATICS / Algebra / Intermediate</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=e000xww&AN=592736
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.23
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Maximal subgroups
        Type: general
      – SubjectFull: Finite groups
        Type: general
    Titles:
      – TitleFull: The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: John N. Bray
      – PersonEntity:
          Name:
            NameFull: Derek F. Holt
      – PersonEntity:
          Name:
            NameFull: Colva M. Roney-Dougal
      – PersonEntity:
          Name:
            NameFull: John N. Bray
      – PersonEntity:
          Name:
            NameFull: Derek F. Holt
      – PersonEntity:
          Name:
            NameFull: Colva M. Roney-Dougal
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521138604
            – Type: isbn-electronic
              Value: 9781107278202
            – Type: isbn-electronic
              Value: 9781461944799
          Numbering:
            – Type: volume
              Value: 00407
          Titles:
            – TitleFull: The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
              Type: main
ResultId 1