Notes on the length of conjugacy classes of finite groups.

DOI10.1016/J.JPAA.2004.08.020zbMath1066.20019OpenAlexW1967547653MaRDI QIDQ1763648

Hua Quan Wei, Yan Ming Wang, Xiao-Lei Liu

Publication date: 22 February 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.020

zbMATH Keywords

finite groupssupersolvable groupsconjugacy class lengthsquasi-normal subgroups

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) Subnormal subgroups of abstract finite groups (20D35)

Related Items (36)

The sub-class sizes of some elements being square free ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\). ⋮ ON HIGHER FROBENIUS–SCHUR INDICATORS ⋮ SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS ⋮ Thompson's conjecture for some finite simple groups with connected prime graph. ⋮ Structure of finite groups with four conjugacy class sizes of certain elements ⋮ Square-free class sizes in products of groups ⋮ A note on two Camina's theorems on conjugacy class sizes. ⋮ On the conjugacy class lengths of finite groups. ⋮ On an extension of a theorem on conjugacy class sizes. ⋮ Unnamed Item ⋮ Prime power indices in factorised groups ⋮ ON SUB-CLASS SIZES OF FINITE GROUPS ⋮ Influence of conjugacy class sizes of some elements on the structure of a finite group ⋮ On products of groups and indices not divisible by a given prime ⋮ Mutually permutable products and conjugacy classes. ⋮ An extension of a theorem of Alan Camina on conjugacy class sizes. ⋮ Primary and biprimary class sizes implying nilpotency of finite groups ⋮ Conjugacy class sizes of elements of prime-power order of finite groups ⋮ ON CONJUGACY CLASS SIZES AND CHARACTER DEGREES OF FINITE GROUPS ⋮ ON -PARTS OF CONJUGACY CLASS SIZES OF FINITE GROUPS ⋮ ON THE THOMPSON'S CONJECTURE ON CONJUGACY CLASSES SIZES ⋮ A note on conjugacy class sizes of finite groups. ⋮ Finite groups with three conjugacy class sizes of some elements. ⋮ ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II ⋮ Invariant class sizes and solvability of finite groups under coprime action ⋮ Conjugacy class sizes and solvability of finite groups. ⋮ On finite groups with square-free conjugacy class sizes ⋮ Conjugacy class sizes and solvability of finite groups. ⋮ On Lengths of Conjugacy Classes and Character Degrees in Finite Groups ⋮ On sub-class sizes of mutually permutable products ⋮ On Thompson's conjecture for some finite simple groups. ⋮ On the Validity of Thompson's Conjecture for Finite Simple Groups ⋮ Conjugacy class sizes of some elements and solvability of finite groups. ⋮ A note on class sizes of vanishing elements in finite groups

Cites Work

• Unnamed Item
• Unnamed Item
• On the length of the conjugacy classes of finite groups
• Finite groups with exactly two class lengths of elements of prime power order
• On quasinormal subgroups of finite groups
• ON PRODUCTS OF FINITE SUPERSOLUBLE GROUPS
• Implications of conjugacy class size
• Remarks on the length of conjugacy classes of finite groups
• Endliche Gruppen I
• Group Elements of Prime Power Index

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