Normal sections, class sizes and solvability of finite groups.

DOI10.1016/j.jalgebra.2013.09.033zbMath1305.20029OpenAlexW2091553644MaRDI QIDQ397848

Zeinab Akhlaghi, María José Felipe, Antonio Beltrán Felip

Publication date: 12 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.09.033

zbMATH Keywords

finite groupssolvabilitynormal sectionsconjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items

Simplicity of normal subgroups and conjugacy class sizes. ⋮ On ϕ-ideals and the structure of Lie algebras ⋮ Conjugacy classes contained in normal subgroups: an overview

Cites Work

• Unnamed Item
• Unnamed Item
• Structure of normal subgroups with three \(G\)-class sizes.
• Character theory of finite groups
• On finite groups with given conjugate types. II
• Groups with many equal classes
• F-Gruppen. (F-groups)
• The influence of p-regular class sizes on normal subgroups
• Nilpotency of normal subgroups having two 𝐺-class sizes
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• Subgroups generated by small classes in finite groups
• The structure of finite groups of conjugate rank 2
• Solvability of normal subgroups and $G$-class sizes
• On Groups all of Whose Elements Have Prime Power Order
• Finite groups of conjugate rank 2