On conjugacy class sizes of \(\pi\)-elements of primary orders in finite groups.

DOI10.1007/s40590-015-0075-5zbMath1337.20013OpenAlexW2222655535MaRDI QIDQ265452

Qingjun Kong

Publication date: 4 April 2016

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-015-0075-5

zbMATH Keywords

finite groupsSylow subgroupsconjugacy class sizesAbelian Hall subgroupselements of primary orders

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)

Cites Work

• On an extension of a theorem on conjugacy class sizes.
• On the length of the conjugacy classes of finite groups
• Finite groups with two conjugacy class sizes of \(\pi\)-elements of primary and biprimary orders.
• Variations on a theorem by Alan Camina on conjugacy class sizes.
• Implications of conjugacy class size
• Prime powers as conjugacy class lengths of π-elements
• Group Elements of Prime Power Index

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