Complementation of Normal Subgroups

In Finite Groups

Joseph Kirtland

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Hardback

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English

De Gruyter
11 September 2017

Discrete mathematics; Groups & group theory

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

By: Joseph Kirtland
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm, Spine: 15mm
Weight: 443g
ISBN: 9783110478792
ISBN 10: 311047879X
Pages: 156
Publication Date: 11 September 2017
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Joseph Kirtland, Marist College, NY, USA.

Reviews for Complementation of Normal Subgroups: In Finite Groups

This book includes many interesting historical remarks and discusses the topic of complementation from many different perspectives, which makes it a valuable reference point on the subject. Rebecca A. H. Waldecker in: Mathematical Reviews Clippings (10.2018), MR3727140