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Complementation of Normal Subgroups : In Finite Groups

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Title: Complementation of Normal Subgroups : In Finite Groups
Description: Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented
Authors: Joseph Kirtland
Resource Type: eBook.
Subjects: Finite groups, Sylow subgroups
Categories: MATHEMATICS / Group Theory, MATHEMATICS / Discrete Mathematics
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1595392
RelevancyScore: 1077
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1077.00524902344
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  Label: Title
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  Data: Complementation of Normal Subgroups : In Finite Groups
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented
– Name: Author
  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Joseph+Kirtland%22">Joseph Kirtland</searchLink>
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  Data: eBook.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Finite+groups%22">Finite groups</searchLink><br /><searchLink fieldCode="DE" term="%22Sylow+subgroups%22">Sylow subgroups</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Group+Theory%22">MATHEMATICS / Group Theory</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Discrete+Mathematics%22">MATHEMATICS / Discrete Mathematics</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.23
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Finite groups
        Type: general
      – SubjectFull: Sylow subgroups
        Type: general
    Titles:
      – TitleFull: Complementation of Normal Subgroups : In Finite Groups
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Joseph Kirtland
      – PersonEntity:
          Name:
            NameFull: Joseph Kirtland
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2017
            – D: 17
              M: 10
              Type: profile
              Y: 2017
          Identifiers:
            – Type: isbn-print
              Value: 9783110478792
            – Type: isbn-electronic
              Value: 9783110478921
            – Type: isbn-electronic
              Value: 9783110480214
          Titles:
            – TitleFull: Complementation of Normal Subgroups : In Finite Groups
              Type: main
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