On the Gowers trick for classical simple groups

Fumagalli, Francesco and Maróti, Attila (2025) On the Gowers trick for classical simple groups. JOURNAL OF PURE AND APPLIED ALGEBRA, 229 (1). ISSN 0022-4049

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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.

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