Groups having complete bipartite divisor graphs for their conjugacy class sizes.

DOI10.4171/RSMUP/133-6zbMath1327.20036arXiv1309.5629MaRDI QIDQ2356000

Pablo Spiga, Roghayeh Hafezieh

Publication date: 28 July 2015

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5629

zbMATH Keywords

finite groupsconjugacy class sizesextra-special groupsbipartite divisor 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) Coloring of graphs and hypergraphs (05C15)

Related Items (2)

An overview on the bipartite divisor graph for the set of irreducible character degrees ⋮ Groups having complete bipartite divisor graphs for their conjugacy class sizes.

Cites Work

• Bipartite divisor graphs for integer subsets
• Abelian coverings of finite general linear groups and an application to their non-commuting graphs.
• Cycles and bipartite graphs on conjugacy class of groups
• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• On bipartite divisor graphs for group conjugacy class sizes.
• Prime graph components of finite groups
• On graphs related to conjugacy classes of groups
• Groups having complete bipartite divisor graphs for their conjugacy class sizes.
• THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
• On the vanishing prime graph of finite groups
• The structure of finite groups of conjugate rank 2
• On a Graph Related to Conjugacy Classes of Groups
• The Diameter of a Conjugacy Class Graph of Finite Groups
• BIPARTITE DIVISOR GRAPH FOR THE PRODUCT OF SUBSETS OF INTEGERS

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