On conjugacy class sizes of primary and biprimary elements of a finite group.

DOI10.1007/s11425-013-4666-1zbMath1306.20028OpenAlexW2052842787WikidataQ59255744 ScholiaQ59255744MaRDI QIDQ476735

Qinhui Jiang, Changguo Shao

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4666-1

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) Finite nilpotent groups, (p)-groups (20D15)

Related Items

SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS ⋮ Structure of finite groups with four conjugacy class sizes of certain elements ⋮ An extension of a theorem of Alan Camina on conjugacy class sizes. ⋮ Primary and biprimary class sizes implying nilpotency of finite groups ⋮ Conjugacy class sizes and solvability of finite groups.

Cites Work

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• Corrigendum to ``Variations on a theorem by Alan Camina on conjugacy 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