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:
Online Access:Click for online access
Description
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.
Physical Description:1 online resource (xii, 144 pages)
Bibliography:Includes bibliographical references and indexes.
ISBN:9783110480214
3110480212
9783110478921
3110478927
9783110480221
3110480220
Language:In English.
Source of Description, Etc. Note:Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017).