E-Book, Englisch, 156 Seiten
Kirtland Complementation of Normal Subgroups
1. Auflage 2017
ISBN: 978-3-11-047892-1
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark
In Finite Groups
E-Book, Englisch, 156 Seiten
ISBN: 978-3-11-047892-1
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark
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
Zielgruppe
Researchers in Mathematics.