Copy the page URI to the clipboard
Gill, N.; Pyber, L. and Szabó, E.
(2020).
DOI: https://doi.org/10.1112/blms.12338
Abstract
We prove that if is a finite simple group of Lie type and are subsets of satisfying for some depending only on the rank of , then there exist elements such that . This theorem generalizes an earlier theorem of the authors and Short.
We also propose two conjectures that relate our result to one of Rodgers and Saxl pertaining to conjugacy classes in , as well as to the Product Decomposition Conjecture of Liebeck, Nikolov and Shalev.