Complementation of normal subgroups : in finite groups

Complementation of normal subgroups : in finite groups / Joseph Kirtland.

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 (Author)
Format: eBook
Language:English
Published: Berlin ; Boston : De Gruyter, [2017]
Subjects:
Finite groups.
Sylow subgroups.
MATHEMATICS > Algebra > Intermediate.
Finite groups
Sylow subgroups
Endliche Gruppe
Untergruppe
Komplement > Mathematik
Online Access:Click for online access
Table of Contents:
  • Frontmatter
  • 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.

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