Growth of products of subsets in finite simple groups

DOI10.1112/BLMS.13093zbMATH Open1548.20019MaRDI QIDQ6593642

Attila Maróti, Laszló Pyber, Daniele Dona

Publication date: 27 August 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

normal subsetfinite simple groupproduct of subsetsgrowth, conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic properties of groups (20F69) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Title not available (Why is that?)
• Word maps, conjugacy classes, and a noncommutative Waring-type theorem.
• On the product decomposition conjecture for finite simple groups
• Alternating groups as products of four conjugacy classes
• Product decompositions in finite simple groups
• A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank
• Rapid growth in finite simple groups
• Diameters of finite simple groups: sharp bounds and applications

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