Structure of normal subgroups with three \(G\)-class sizes.

DOI10.1007/s00605-011-0290-8zbMath1253.20026OpenAlexW2463488945MaRDI QIDQ438988

Antonio Beltrán Felip, María José Felipe, Zeinab Akhlaghi, Maryam Khatami

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1007/s00605-011-0290-8

zbMATH Keywords

finite groupsFrobenius groupsnormal subgroupsconjugacy 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)

Related Items (7)

Structure of \(p\)-complements in groups with three \(p\)-regular class sizes. ⋮ Normal sections, class sizes and solvability of finite groups. ⋮ Simplicity of normal subgroups and conjugacy class sizes. ⋮ Graphs associated to conjugacy classes of normal subgroups in finite groups. ⋮ On the normal subgroup with minimal \(G\)-conjugacy class sizes ⋮ Conjugacy classes contained in normal subgroups: an overview ⋮ Normal subgroups and class sizes of elements of prime power order

Uses Software

• GAP

Cites Work

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• Partitionen endlicher Gruppen
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• Subgroup lattices of groups
• On finite groups with given conjugate types. II
• F-Gruppen. (F-groups)
• Nilpotency of normal subgroups having two 𝐺-class sizes
• Subgroups generated by small classes in finite groups
• The structure of finite groups of conjugate rank 2
• On Finite Groups with Given Conjugate Types I

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