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- W3033752588 abstract "Let $G$ be a non-abelian finite simple group. A famous result of Liebeck and Shalev is that there is an absolute constant $c$ such that whenever $S$ is a non-trivial normal subset in $G$ then $S^{k} = G$ for any integer $k$ at least $c cdot (log|G|/log|S|)$. This result is generalized by showing that there exists an absolute constant $c$ such that whenever $S_{1}, ldots , S_{k}$ are normal subsets in $G$ with $prod_{i=1}^{k} |S_{i}| geq {|G|}^{c}$ then $S_{1} cdots S_{k} = G$." @default.
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- W3033752588 date "2020-03-31" @default.
- W3033752588 modified "2023-10-16" @default.
- W3033752588 title "A generalization of the diameter bound of Liebeck and Shalev for finite simple groups" @default.
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