On the vanishing prime graph of finite groups
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Publication:3580050
DOI10.1112/jlms/jdq021zbMath1203.20024OpenAlexW1999676727MaRDI QIDQ3580050
Silvio Dolfi, Lucia Sanus, Emanuele Pacifici, Pablo Spiga
Publication date: 11 August 2010
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2434/149929
connected componentsfinite groupsirreducible complex charactersvanishing elementsvanishing prime graphs
Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (17)
On finite groups with exactly one vanishing conjugacy class size ⋮ Recognition of \(\mathrm{PSL}(2,2)^a)\) by the orders of vanishing elements ⋮ Vanishing elements and Sylow subgroups ⋮ Finite groups with at most six vanishing conjugacy classes ⋮ Characterization of some finite simple groups by the set of orders of vanishing elements and order ⋮ On vanishing class sizes in finite groups ⋮ A new characterization of Suzuki’s simple groups ⋮ The Isaacs-Navarro-Wolf conjecture for groups with one vanishing class size ⋮ Finite groups with some restriction on the vanishing set ⋮ The one-prime hypothesis on the co-degrees of irreducible characters ⋮ On the orders of vanishing elements of finite groups ⋮ Recognition of some finite simple groups by the orders of vanishing elements ⋮ ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II ⋮ Groups with vanishing class size \(p\) ⋮ Non-solvable groups each of whose vanishing class sizes has at most two prime divisors ⋮ A new characterization of some finite simple groups. ⋮ Groups having complete bipartite divisor graphs for their conjugacy class sizes.
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