On the Gowers trick for classical simple groups

DOI10.1016/J.JPAA.2024.107833MaRDI QIDQ6671752

Attila Maróti, Francesco Fumagalli

Publication date: 27 January 2025

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

simple groupcharacter boundsGowers trick

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Product decompositions of quasirandom groups and a Jordan type theorem.
• Upper bounds for the number of conjugacy classes of a finite group
• Fuchsian groups, finite simple groups and representation varieties.
• A generalization of the diameter bound of Liebeck and Shalev for finite simple groups
• Products of conjugacy classes in groups
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank
• Quasirandom Groups
• Product-free subsets of groups, then and now
• Generating a random permutation with random transpositions
• Products of normal subsets
• Character levels and character bounds for finite classical groups

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