An extension of a theorem of Alan Camina on conjugacy class sizes.

DOI10.1007/s11856-014-1079-yzbMath1306.20029OpenAlexW2036390659WikidataQ59255732 ScholiaQ59255732MaRDI QIDQ480795

Qinhui Jiang, Changguo Shao

Publication date: 11 December 2014

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

Full work available at URL: https://doi.org/10.1007/s11856-014-1079-y

zbMATH Keywords

finite groupsnilpotent groupssolvable groupsprimary elementsconjugacy class sizesbiprimary elements

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Cites Work

• On conjugacy class sizes of primary and biprimary elements of a finite group.
• On an extension of a theorem on conjugacy class sizes.
• The theory of finite groups. An introduction.
• Notes on the length of conjugacy classes of finite groups.
• On finite groups with given conjugate types. II
• Groups with many equal classes
• Normal subgroups and class sizes of elements of prime power order
• The structure of finite groups with three class sizes
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group
• Group Elements of Prime Power Index
• On Finite Groups with Given Conjugate Types I