FINITE GROUPS WHOSE NONCENTRAL COMMUTING ELEMENTS HAVE CENTRALIZERS OF EQUAL SIZE

DOI10.1017/S0004972710000298zbMath1206.20036OpenAlexW2162595101MaRDI QIDQ4931123

Enrico Jabara, Silvio Dolfi, Marcel Herzog

Publication date: 4 October 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710000298

zbMATH Keywords

finite groupsderived lengthsorders of centralizersF-groupsCA-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) General structure theorems for groups (20E34) Finite nilpotent groups, (p)-groups (20D15)

Related Items (17)

Groups that have a partition by commuting subsets ⋮ On the maximum number of the pairwise noncommuting elements in a finite group ⋮ Characterizations of some groups in terms of centralizers ⋮ On finite groups with nine centralizers ⋮ Unnamed Item ⋮ The Commutativity Degree in the Class of Nonabelian Groups of Same Order ⋮ A note on the number of centralizers in finite AC-groups ⋮ The commuting conjugacy class graphs of finite groups with a given property ⋮ On F-groups with the central factor of order p ⁴ ⋮ Counting the number of centralizers of 2-element subsets in a finite group ⋮ Revisiting the Leinster groups. ⋮ Groups with exactly ten centralizers ⋮ Finite unitary rings in which every subring is commutative, are commutative ⋮ Finite groups determined by the number of element centralizers ⋮ \(z\)-classes in groups: a survey ⋮ On groups covered by finitely many centralizers and domination number of the commuting graphs ⋮ On 9-centralizer groups

Cites Work

• On finite \(p\)-groups which have only two conjugacy lengths
• Subgroup lattices of groups
• F-Gruppen. (F-groups)
• Elements of minimal breadth in finite p-groups and lie algebras
• Subgroups generated by small classes in finite groups
• On Finite Groups with Given Conjugate Types I
• Conjugacy classes in finite groups
• Unnamed Item
• Unnamed Item

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