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...

Full description

Saved in:
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

More Information
Summary: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
Bibliography:Includes bibliographical references (p. [137]-140) and indexes
ISBN:9783110478792
311047879X
DOI:10.1515/9783110480214