Complementation of Normal Subgroups

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  • Complementation of Normal Subgroups Book Detail

  • Author : Joseph Kirtland
  • Release Date : 2017-09-11
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Genre : Mathematics
  • Pages : 176
  • ISBN 13 : 3110478927
  • File Size : 32,32 MB

Complementation of Normal Subgroups by Joseph Kirtland PDF Summary

Book Description: 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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