scientific article

zbMath0678.20002MaRDI QIDQ3834224

Olaf Manz, Thomas R. Wolf, Wolfgang Willems

Publication date: 1989

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002207133

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zbMATH Keywords

diameterirreducible charactersfinite groupsolvable groupconnected componentcharacter degree graphsimple composition factorsirreducible p-modular Brauer charactersmodular degree graph

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

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Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category ⋮ Finite groups with small conjugacy classes ⋮ Diameters of degree graphs of nonsolvable groups. II. ⋮ Bounding graph diameters of nonsolvable groups. ⋮ Rational groups whose character degree graphs are disconnected ⋮ Nonsolvable groups satisfying the one-prime hypothesis. ⋮ Character degree graphs of solvable groups with diameter three ⋮ Finite solvable groups whose character graphs are trees. ⋮ Character graphs with diameter three ⋮ A conjecture about character degrees of solvable groups ⋮ The co-degrees of irreducible characters ⋮ Degree graphs of simple orthogonal and symplectic groups. ⋮ A solvable group whose character degree graph has diameter $3$ ⋮ Finite nonsolvable groups whose character graphs have no triangles. ⋮ Hamiltonian character graphs ⋮ Bounding graph diameters of solvable groups. ⋮ Diameters of degree graphs of nonsolvable groups. ⋮ $4$-Regular prime graphs of nonsolvable groups ⋮ Degree graphs of simple groups. ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Solvable groups whose prime divisor character degree graphs are 1-connected

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