The largest lengths of conjugacy classes and the Sylow subgroups of finite groups.

DOI10.1007/S00013-005-1408-9zbMath1098.20020OpenAlexW2088114124MaRDI QIDQ818718

Liguo He, Wujie Shi

Publication date: 21 March 2006

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-005-1408-9

zbMATH Keywords

finite groupssporadic simple groupsSylow subgroupsgroups of Lie typelengths of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (4)

The largest character degree, conjugacy class size and subgroups of finite groups ⋮ The largest conjugacy class size and the nilpotent subgroups of finite groups ⋮ The size of the largest conjugacy classes and the Sylow \(p\)-subgroups of finite groups ⋮ On the largest conjugacy class length of a finite group.

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