Almost independence and irreducibility in simple finite and algebraic groups

DOI10.1016/j.jalgebra.2017.03.014zbMath1427.20024OpenAlexW2599068647MaRDI QIDQ1702708

Aner Shalev

Publication date: 28 February 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.03.014

zbMATH Keywords

Zelmanov issue

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (1)

Character levels and character bounds for finite classical groups

Cites Work

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• Word maps, conjugacy classes, and a noncommutative Waring-type theorem.
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• Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks.
• Products of conjugacy classes in groups
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Simple groups admit Beauville structures
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Character degrees and random walks in finite groups of Lie type
• Number of Points of Varieties in Finite Fields
• On a class of doubly transitive groups

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