The size of the largest conjugacy classes and the Sylow \(p\)-subgroups of finite groups

DOI10.1007/s00013-016-0978-zzbMath1472.20041OpenAlexW2557028957MaRDI QIDQ512270

Yong Yang

Publication date: 24 February 2017

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

Full work available at URL: https://doi.org/10.1007/s00013-016-0978-z

zbMATH Keywords

Sylow subgroupsconjugacy class size

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)

Related Items (1)

The largest conjugacy class size and the nilpotent 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 existence of regular orbits for nilpotent groups
• Orbit sizes, character degrees and Sylow subgroups.
• The largest character degree and the Sylow subgroups of finite groups.
• On the largest conjugacy class length of a finite group.
• The largest character degree and the Sylow subgroups of finite groups
• The largest Irreducible Character Degree of a Finite Group
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups

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