Growth of products of subsets in finite simple groups
Daniele Dona,
Attila Maróti,
László Pyber
Abstract:We prove that the product of a subset and a normal subset inside any finite simple non‐abelian group grows rapidly. More precisely, if and are two subsets with normal and neither of them is too large inside , then where can be taken arbitrarily small. This is a somewhat surprising strengthening of a theorem of Liebeck, Schul, and Shalev.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.