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.
On the Gowers trick for classical simple groups / Fumagalli, Francesco; Maróti, Attila. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 229:(2025), pp. 1.0-1.0. [10.1016/j.jpaa.2024.107833]
On the Gowers trick for classical simple groups
Fumagalli, Francesco;
2025
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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