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arXiv · 2404.04967

On the Gowers trick for classical simple groups

Francesco Fumagalli·Attila Maróti
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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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Francesco Fumagalli, Attila Maróti. 2024-04-07. On the Gowers trick for classical simple groups. https://arxiv.org/abs/2404.04967

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