Finite groups with many \(p\)-regular conjugacy classes

DOI10.1016/j.jalgebra.2023.11.010zbMath1530.20088arXiv2305.12905OpenAlexW4388686829MaRDI QIDQ6187325

Christopher A. Schroeder

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2305.12905

zbMATH Keywords

conjugacy classesrepresentation theoryfinite group\(p\)-solvable group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Cites Work

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• Conjugacy classes of \(p\)-elements and normal \(p\)-complements
• Isoclinism classes and commutativity degrees of finite groups
• Conjugacy class numbers and \(\pi \)-subgroups
• On the number of conjugacy classes of \(\pi\)-elements in finite groups.
• On the commuting probability in finite groups.
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Commuting probabilities of finite groups
• Theorems Like Sylow's
• What is the Probability that Two Group Elements Commute?
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• Conjugacy classes of \(\pi \)-elements and nilpotent/abelian Hall \(\pi \)-subgroups
• On the commuting probability of \(p\)-elements in a finite group

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