Complementation of normal subgroups : in finite groups

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 norma...

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Bibliographic Details
Main Author Kirtland, Joseph
Format eBook Book
LanguageEnglish
Published Berlin De Gruyter 2017
Walter de Gruyter GmbH
Edition1
Subjects
Finite groups
MATHEMATICS / Group Theory
Normale Gruppe
Sylow subgroups
Untergruppe
Online AccessGet full text
ISBN9783110478792
311047879X
DOI10.1515/9783110480214

Cover

Table of Contents:
  • Intro -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index
  • Subject index
  • Contents --
  • 6. Normal subgroups with abelian sylow subgroups --
  • Preface --
  • 1. Prerequisites --
  • 4. Reduction theorems --
  • 3. Abelian and minimal normal subgroups --
  • 5. Subgroups in the chief series, derived series, and lower nilpotent series --
  • Notation --
  • Frontmatter --
  • 7. The formation generation --
  • Bibliography --
  • 2. The Schur-Zassenhaus theorem: A bit of history and motivation --
  • 8. Groups with specific classes of subgroups complemented --
  • Author index --