Affiliation:
1. Hun‐Ren Alfréd Rényi Institute of Mathematics Budapest Hungary
Abstract
AbstractWe 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.
Funder
European Research Council
National Research, Development and Innovation Office