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Expanders and growth of normal subsets in finite simple groups of Lie type

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The research shows that classical results on expander graphs yield new insights on normal subsets in finite simple groups.
A nontrivial normal subset of bounded rank leads to a structural outcome, enhancing previous findings on group behavior.
The application of a variant of Gowers' trick reveals improved results on products of large subsets in groups of Lie type.
This exploration improves earlier results by prominent researchers and addresses lingering questions in group theory.

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The study reveals the growth dynamics of normal subsets in finite simple groups, suggesting implications of expander graphs.

Saveliy V. Skresanov (2025) studied this question.

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