ON THE SOLVABILITY OF GROUPS WITH FOUR CLASS SIZES

DOI10.1142/S0219498811005609zbMath1251.20031OpenAlexW2068464654MaRDI QIDQ2885397

María José Felipe, Antonio Beltrán Felip

Publication date: 23 May 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811005609

zbMATH Keywords

finite solvable groupsfinite groupsconjugacy 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

Structure of finite groups with four conjugacy class sizes of certain elements ⋮ A note on the solvability of finite groups with four particular conjugacy class sizes. ⋮ A note on conjugacy class sizes and solvability of finite groups.

Cites Work

• Variations on a theorem by Alan Camina on conjugacy class sizes.
• Finite Groups with Four Conjugacy Class Sizes
• Subgroups generated by small classes in finite groups
• FINITE GROUPS WITH TWO p-REGULAR CONJUGACY CLASS LENGTHS II
• COPRIME CONJUGACY CLASS SIZES
• Finite groups of conjugate rank 2

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