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Complementation of Normal Subgroups: In Finite Groups by Joseph Kirtland

Complementation of Normal Subgroups: In Finite Groups

by Joseph Kirtland
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Book cover type: Hardcover
  • ISBN13: 9783110478792
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 156
  • Original Price: GBP 95.0
  • Language: English
  • Edition: N/A
  • Item Weight: 477 grams
  • BISAC Subject(s): 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

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