On the diameter of a graph related to \(p\)-regular conjugacy classes of finite groups

DOI10.1006/jabr.2000.8354zbMath0964.20009OpenAlexW2027121942MaRDI QIDQ1585311

Ji Ping Zhang, Zi Qun Lu

Publication date: 4 April 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8354

zbMATH Keywords

conjugacy classesHall subgroupsconnected componentsfinite groupsgraphs\(p\)-soluble groups

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (12)

Finite Groups with a Disconnectedp-Regular Conjugacy Class Graph ⋮ Variations on a theorem by Alan Camina on conjugacy class sizes. ⋮ On the p -regular G-conjugacy classes with sizes 1 or minimal ⋮ Prime powers as conjugacy class lengths of π-elements ⋮ Finite solvable groups whose character graphs are trees. ⋮ Certain relations between p-regular class sizes and the p-structure of p-solvable groups ⋮ Finite nonsolvable groups whose character graphs have no triangles. ⋮ On the Diameter of ap-Regular Conjugacy Class Graph of Finite Groups II ⋮ On coprime \(G\)-conjugacy class sizes in a normal subgroup. ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Prime Divisors ofp-regular Conjugacy Class Sizes ⋮ On \(p\)-regular \(G\)-conjugacy class sizes.

Cites Work

• Unnamed Item
• Applications of a graph related to conjugacy classes in finite groups
• On the length of the conjugacy classes of finite groups
• Arithmetical conditions on the length of the conjugacy classes of a finite group
• Prime Factors of Conjugacy Classes of Finite Solvable Groups
• On a Graph Related to Conjugacy Classes of Groups
• On the Diameter of a Graph Related to Conjugacy Classes of Groups
• The conjugacy classes in a finite simple group.
• Endliche Gruppen I

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