Autocommutator subgroups with cyclic outer automorphism group

doi:10.1285/i15900932v31n2p9

Autocommutator subgroups with cyclic outer automorphism group

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

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.

DOI Code: 10.1285/i15900932v31n2p9

Keywords: Autocommutator subgroup ; outer automorphism

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Note di Matematica

Autocommutator subgroups with cyclic outer automorphism group

Abstract