Description

Book Synopsis

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

Complementation of Normal Subgroups: In Finite Groups

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    A Hardback by Joseph Kirtland

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      Publisher: De Gruyter
      Publication Date: Publication Date: 11/09/2017
      ISBN13: 9783110478792, 978-3110478792
      ISBN10:

      Description

      Book Synopsis

      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

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