Complementation of Normal Subgroups

In Finite Groups
1. Auflage 2017
ISBN: 978-3-11-047879-2
Verlag: De Gruyter

Buch, Englisch, 144 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 455 g

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.

Autoren/Hrsg.

Kirtland, Joseph

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Über Autor(innen)

Joseph Kirtland, Marist College, NY, USA.