Complementation of normal subgroups : in finite groups /

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Bibliographic Details
Author / Creator:Kirtland, Joseph, author.
Imprint:Berlin ; Boston : De Gruyter, [2017]
©2017
Description:1 online resource (xii, 144 pages)
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11759378
Hidden Bibliographic Details
ISBN:9783110480214
3110480212
9783110478921
3110478927
9783110480221
3110480220
311047879X
9783110478792
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and indexes.
In English.
Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017).
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.
Other form:bundle 9783110480221
EPUB 9783110478921
print 9783110478792
Standard no.:10.1515/9783110480214
9783110480214
urn:nbn:de:101:1-201710047442
9783110478921
urn:nbn:de:101:1-201710049675
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.

Contents
Prerequisites
The Schur-Zassenhaus theorem: A bit of history and motivation
Abelian and minimal normal subgroups
Reduction theorems
Subgroups in the chief series, derived series, and lower nilpotent series
Normal subgroups with abelian sylow subgroups
The formation generation
Groups 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
311047879X
9783110478792