Incomplete vertices in the prime graph on conjugacy class sizes of finite groups.

DOI10.1016/J.JALGEBRA.2012.10.012zbMath1282.20027OpenAlexW1976956568MaRDI QIDQ360157

Emanuele Pacifici, Carlo Casolo, Silvio Dolfi, Lucia Sanus

Publication date: 26 August 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869312005121

zbMATH Keywords

finite groupsconjugacy class sizesprime graphsmetabelian Hall subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (5)

Finite groups whose prime graph on class sizes is a block square ⋮ On Huppert's rho-sigma conjecture ⋮ Groups whose prime graph on class sizes has a cut vertex ⋮ Co-degree graphs and order elements ⋮ The prime graph on class sizes of a finite group has a bipartite complement

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