Normal subgroups and class sizes of elements of prime power order

DOI10.1090/S0002-9939-2012-11276-6zbMath1282.20026OpenAlexW1997241349MaRDI QIDQ2846835

María José Felipe, Antonio Beltrán Felip

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11276-6

zbMATH Keywords

conjugacy classesfinite groupsnilpotent groupselements of prime power orderconjugacy class sizes

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

Related Items (6)

A criterion for the existence of nilpotent hall π-subgroups ⋮ 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 ⋮ Class sizes of prime-power order \(p'\)-elements and normal subgroups. ⋮ Finite groups with exactly one composite conjugacy class size

Cites Work

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• Structure of normal subgroups with three \(G\)-class sizes.
• Theory of finite groups. An introduction
• Finite groups with exactly two class lengths of elements of prime power order
• Nilpotency of normal subgroups having two 𝐺-class sizes
• On Finite Groups with Given Conjugate Types I

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