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arXiv · 1311.6201

On finite groups with nine centralizers

Sekhar Jyoti Baishya
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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 $|Cent(G)|=|Cent(\frac{G}{Z(G)})|=n$. In this paper, we characterize the $9$-centralizer and the primitive $9$-centralizer groups.

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Sekhar Jyoti Baishya. 2013-11-25. On finite groups with nine centralizers. https://arxiv.org/abs/1311.6201

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