Work

Autocommutator subgroups with cyclic outer automorphism group

Year: 2012

Type: article

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.

Source: Note di matematica/Note di matematica - Università degli studi di Lecce

DOI: 10.1285/i15900932v31n2p9

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

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2163413623

FWCI: 0.397

Cites: 6

Cited by: 3

Related to: 10