On the Gowers trick for classical simple groups

2024/04/07 by Fumagalli, Francesco, Maróti, Attila · 1 citation
#20D06 #20D40 #20G05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2404.04967

Abstract

If A, B, C are subsets in a finite simple group of Lie type G at least two of which are normal with |A||B||C| relatively large, then we establish a stronger conclusion than ABC = G. This is related to a theorem of Gowers and is a generalization of a theorem of Larsen, Shalev, Tiep and the second author and Pyber.

Cited by

• Products of three conjugacy classes in the alternating group

Related

• Expanders and growth of normal subsets in finite simple groups of Lie type
• A generalization of the diameter bound of Liebeck and Shalev for finite\n simple groups
• Short Laws for Finite Groups of Lie Type
• Simple groups, interleaved products, complexity and conjectures of Gowers and Viola
• On a Question of Gowers on Clique Differences