On finite groups with nine centralizers

2013/11/25 by Baishya, Sekhar Jyoti
#11A25 #20D60 #20E99 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1311.6201

Abstract

Given a finite group G, let Cent(G) denote the set of distinct centralizers of elements of G. The group G is called n-centralizer if |Cent(G)|=n and primitive n-centralizer if |Cent(G)|=|Cent((G)/(Z(G)))|=n. In this paper, we characterize the 9-centralizer and the primitive 9-centralizer groups.

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