On finite CG-groups

Sekhar Jyoti Baishya

On finite CG-groups

Group Theory 2020-10-23 v2

Authors: Sekhar Jyoti Baishya

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.

Keywords

finite group theory permutation groups group theory

Cite

@article{arxiv.1911.06054,
  title  = {On finite CG-groups},
  author = {Sekhar Jyoti Baishya},
  journal= {arXiv preprint arXiv:1911.06054},
  year   = {2020}
}

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