Conjugacy classes of \(p\)-elements and normal \(p\)-complements

DOI10.2140/pjm.2020.308.207zbMath1481.20109arXiv2002.04443OpenAlexW3108361364MaRDI QIDQ827434

Hung P. Tong-Viet

Publication date: 8 January 2021

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

Full work available at URL: https://arxiv.org/abs/2002.04443

zbMATH Keywords

conjugacy classesfinite groupsnormal \(p\)-complements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

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 extensions of the Baer-Suzuki theorem
• Brauer characters and normal Sylow \(p\)-subgroups
• Isoclinism classes and commutativity degrees of finite groups
• On the number of conjugacy classes of \(\pi\)-elements in finite groups.
• On the commuting probability in finite groups.
• Central elements in core-free groups
• The characterization of finite groups with abelian Sylow 2-subgroups
• CENTRAL EXTENSIONS AND COMMUTATIVITY DEGREE
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Finite Groups with Sylow 2-Subgroups of Class Two. I
• What is the Probability that Two Group Elements Commute?
• Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks

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