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arXiv · 1911.06054

On finite CG-groups

Sekhar Jyoti Baishya
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Abstract

A finite group $G$ is a CG-group if $|{\rm Cent}(G) | = | G' |+2$, where $G'$ is the commutator subgroup and Cent$(G)$ is the set of distinct element centralizers of $G$. In this paper we give some results on CG-groups. We also give a negative answer to \cite[Conjecture 2.3]{con} given by K. Khoramshahi and M. Zarrin.

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Sekhar Jyoti Baishya. 2020-10-22. On finite CG-groups. https://arxiv.org/abs/1911.06054

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