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arXiv · 0905.2674

On subgroups generated by small classes in finite groups

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 $M(G)$.

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Manoj K. Yadav. 2011-07-18. On subgroups generated by small classes in finite groups. https://doi.org/10.1080/00927872.2012.686126

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