On subgroups generated by small classes in finite groups

Manoj K. Yadav

doi:10.1080/00927872.2012.686126

On subgroups generated by small classes in finite groups

Group Theory 2013-06-27 v3

Authors: Manoj K. Yadav

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Abstract

Let $G$ be a finite group and $M(G)$ be the subgroup of $G$ generated by all non-central elements of $G$ that lie in the conjugacy classes of the smallest size. Recently several results have been proved regarding the nilpotency class of $M(G)$ and $F(M(G))$ , where $F(M(G))$ denotes the Fitting subgroup of $M(G)$ . We prove some conditional results regarding the nilpotency class of $M(G)$ .

Keywords

finite group theory conjugacy classes in groups group theory

Cite

@article{arxiv.0905.2674,
  title  = {On subgroups generated by small classes in finite groups},
  author = {Manoj K. Yadav},
  journal= {arXiv preprint arXiv:0905.2674},
  year   = {2013}
}

Comments

5 pages, re-written in a new format

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