On bipartite divisor graphs for group conjugacy class sizes.

DOI10.1016/j.jpaa.2009.01.015zbMath1176.20027OpenAlexW2010587674WikidataQ56987730 ScholiaQ56987730MaRDI QIDQ1020951

Silvio Dolfi, Daniela Bubboloni, Cheryl E. Praeger, Mohammad A. Iranmanesh

Publication date: 4 June 2009

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.2009.01.015

zbMATH Keywords

conjugacy classesfinite groupsconjugacy class sizescommon divisor graphsbipartite divisor graphsprime vertex graphs

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (14)

Bipartite divisor graph: a survey ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ The divisibility graph of finite groups of Lie type ⋮ Bipartite divisor graphs for integer subsets ⋮ An overview on the bipartite divisor graph for the set of irreducible character degrees ⋮ BIPARTITE DIVISOR GRAPH FOR THE PRODUCT OF SUBSETS OF INTEGERS ⋮ Bipartite divisor graph for the set of irreducible character degrees ⋮ Cycles and bipartite graphs on conjugacy class of groups ⋮ On bipartite divisor graph for character degrees ⋮ Groups whose prime graph on class sizes has a cut vertex ⋮ Unnamed Item ⋮ Divisibility Graph for Symmetric and Alternating Groups ⋮ The divisibility graph for F-groups ⋮ Groups having complete bipartite divisor graphs for their conjugacy class sizes.

Cites Work

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• Large orbits in actions of nilpotent groups
• The Diameter of a Conjugacy Class Graph of Finite Groups
• Endliche Gruppen I
• On Finite Groups with Given Conjugate Types I
• Bounding Fitting heights of character degree graphs

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