Autocommutator subgroups with cyclic outer automorphism group

Authors

  • Mohammad Naghshineh
  • Mohammad Farrokhi D. G.
  • Mohammad Reza R. Moghaddam

DOI:

https://doi.org/10.1285/i15900932v31n2p9

Keywords:

Autocommutator subgroup, outer automorphism

Abstract

A criterion for the existence of groups admitting autocommutator subgroups with cyclic outer automorphism group is given. Also the classification of those finite groups $G$ such that $K(G)\cong H$ if $H$ is a centerless finite group with cyclic outer automorphism group and possible solutions $G$ if $|Z(H)|=2$ and $H$ has a cyclic outer automorphism group is presented.

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Published

01-07-2012

Issue

Volume 31, Issue 2 (2011)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode