Finite groups with two conjugacy class sizes of \(\pi\)-elements of primary and biprimary orders.

DOI10.1007/S00605-011-0367-4zbMath1260.20040OpenAlexW2012179442WikidataQ59255741 ScholiaQ59255741MaRDI QIDQ1934264

Qinhui Jiang, Changguo Shao

Publication date: 28 January 2013

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

Full work available at URL: https://doi.org/10.1007/s00605-011-0367-4

zbMATH Keywords

Hall subgroupsfinite groupsconjugacy class sizes\(\pi\)-solvable groupselements of prime orderelements of biprimary orders

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)

Related Items (4)

On conjugacy class sizes of \(\pi\)-elements of primary orders in finite groups. ⋮ Structure of finite groups with four conjugacy class sizes of certain elements ⋮ On conjugacy class sizes of primary and biprimary elements of a finite group. ⋮ Determining group structure by set of conjugacy class sizes

Cites Work

• On an extension of a theorem on conjugacy class sizes.
• Variations on a theorem by Alan Camina on conjugacy class sizes.
• Finite groups with two p-regular conjugacy class lengths
• On Finite Groups with Given Conjugate Types I

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