On an extension of a theorem on conjugacy class sizes.

DOI10.1007/s11856-010-0082-1zbMath1214.20030OpenAlexW2086873451MaRDI QIDQ607858

Qingjun Kong, Xiu Yun Guo

Publication date: 6 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0082-1

zbMATH Keywords

conjugacy classesfinite groupsnilpotent groupsconjugacy class sizesbiprimary elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) 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

On conjugacy class sizes of \(\pi\)-elements of primary orders in finite groups. ⋮ A criterion for a group to have nilpotent \(p\)-complements. ⋮ SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS ⋮ 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. ⋮ On a finite group with restriction on set of conjugacy classes size ⋮ Finite groups with two conjugacy class sizes of \(\pi\)-elements of primary and biprimary orders. ⋮ On conjugacy class sizes of primary and biprimary elements of a finite group. ⋮ An extension of a theorem of Alan Camina on conjugacy class sizes. ⋮ Conjugacy class sizes of elements of prime-power order of finite groups ⋮ The influence of conjugacy class sizes on the structure of finite groups ⋮ Conjugacy class sizes and solvability of finite groups. ⋮ Conjugacy class sizes and solvability of finite groups. ⋮ CONJUGACY CLASS SIZE CONDITIONS WHICH IMPLY SOLVABILITY ⋮ A note on conjugacy class sizes and solvability of finite groups.

Cites Work

• On the length of the conjugacy classes of finite groups
• Character theory of finite groups
• Notes on the length of conjugacy classes of finite groups.
• Indices of elements and normal structure of finite groups.
• Finite groups with exactly two class lengths of elements of prime power order
• On finite groups with given conjugate types. II
• Finite groups with two p-regular conjugacy class lengths
• Endliche Gruppen I
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group
• Group Elements of Prime Power Index
• On Finite Groups with Given Conjugate Types I

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