On the largest conjugacy class length of a finite group.

DOI10.1007/s00605-013-0511-4zbMath1295.20028OpenAlexW2002987641MaRDI QIDQ2249612

Yanjun Liu, Xueling Song

Publication date: 2 July 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0511-4

zbMATH Keywords

finite groupsSylow subgroupslower boundslengths of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (2)

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

Cites Work

• Unnamed Item
• The largest lengths of conjugacy classes and the Sylow subgroups of finite groups.
• On finite rational groups and related topics
• The largest character degree and the Sylow subgroups of finite groups.
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Large orbits in actions of nilpotent groups
• Bounding an Index by the Largest Character Degree of ap-Solvable Group
• Nonsolvable groups with no prime dividing three character degrees.

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