Complementation of Normal Subgroups
In Finite Groups
(Sprache: Englisch)
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...
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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
Autoren-Porträt von Joseph Kirtland
Joseph Kirtland, Marist College, NY, USA.
Bibliographische Angaben
- Autor: Joseph Kirtland
- 2017, XII, 144 Seiten, Masse: 17,4 x 24,6 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 311047879X
- ISBN-13: 9783110478792
- Erscheinungsdatum: 11.09.2017
Sprache:
Englisch
Pressezitat
"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
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