Character degree graphs of solvable groups with diameter three

DOI10.1515/JGTH-2016-0029zbMath1352.20005OpenAlexW2464108309MaRDI QIDQ338562

Catherine B. Sass

Publication date: 7 November 2016

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2016-0029

zbMATH Keywords

finite solvable groupsSylow subgroupsirreducible complex characterscharacter degree graphsFitting heightsets of character degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) 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 (9)

Unnamed Item ⋮ On prime character degree graphs occurring within a family of graphs (ii) ⋮ The Taketa problem and character degree graphs with diameter three. ⋮ On cut vertices and eigenvalues of character graphs of solvable groups ⋮ Groups whose character degree graph has diameter three ⋮ Solvable groups whose character degree graphs generalize squares ⋮ Classifying character degree graphs with six vertices ⋮ Solvable groups whose prime divisor character degree graphs are 1-connected ⋮ On prime character degree graphs occurring within a family of graphs

Cites Work

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• On the character degree graph of solvable groups. II. Discon- nected graphs
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