Finite Groups with a Disconnectedp-Regular Conjugacy Class Graph

DOI10.1081/AGB-120039627zbMath1081.20040OpenAlexW2084235696MaRDI QIDQ3158326

María José Felipe, Antonio Beltrán Felip

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120039627

zbMATH Keywords

conjugacy classesgraphs\(p\)-regular elementsfinite \(p\)-solvable 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 (3)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ On the conjugate type vector and the structure of a normal subgroup ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.

Cites Work

• On the diameter of a graph related to \(p\)-regular conjugacy classes of finite groups
• Solvable groups whose degree graphs have two connected components
• On a Graph Related to Conjugacy Classes of Groups
• On the Diameter of a Graph Related to Conjugacy Classes of Groups
• On the Diameter of ap-Regular Conjugacy Class Graph of Finite Groups II
• ON THE DIAMETER OF A p-REGULAR CONJUGACY CLASS GRAPH OF FINITE GROUPS
• Finite groups in which \(p'\)-classes have \(q'\)-length

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