Conjugacy class numbers and \(\pi \)-subgroups

DOI10.2140/pjm.2021.311.135zbMath1493.20004OpenAlexW3137597122MaRDI QIDQ2057574

Gabriel Navarro, Gunter Malle, Geoffrey R. Robinson

Publication date: 7 December 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2021.311.135

zbMATH Keywords

number of conjugacy classes, \(\pi \)-subgroups, almost abelian finite groups, l(B)-conjecture

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Related Items (2)

Conjugacy classes of \(\pi \)-elements and nilpotent/abelian Hall \(\pi \)-subgroups ⋮ Finite groups with many \(p\)-regular conjugacy classes

Cites Work

• On the number of simple modules in a block of a finite group
• Extensions of unipotent characters and the inductive McKay condition.
• On the number of conjugacy classes of a finite group
• Upper bounds for the number of conjugacy classes of a finite group
• On defining characteristic representations of finite reductive groups.
• On the number of conjugacy classes of \(\pi\)-elements in finite groups.
• The non-coprime \(k(GV)\) problem.
• Zum Satz von Sylow
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Bounding the number of conjugacy classes of a permutation group

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