A classification of the finite non-solvable minimal non-CA-groups

Published 17 Dec 2019 in math.GR | (1912.08185v1)

Abstract: A group is called a CA-group if the centralizer of every non-central element is abelian. Furthermore, a group is called a minimal non-CA-group if it is not a CA-group itself, but all of its proper subgroups are. In this paper, we give a classification of the finite non-solvable minimal non-CA-groups.

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