Degree Graphs of Simple Groups of Exceptional Lie Type

DOI10.1081/AGB-120039635zbMath1077.20013MaRDI QIDQ3158335

Donald L. White

Publication date: 24 January 2005

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

zbMATH Keywords

irreducible characterscharacter degree graphssimple groups of exceptional Lie type

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of finite groups of Lie type (20C33)

Related Items (13)

Diameters of degree graphs of nonsolvable groups. II. ⋮ n-Exact character graphs ⋮ 5-regular prime graphs of finite nonsolvable groups ⋮ Five-vertex degree graphs of nonsolvable groups ⋮ Degree graphs of simple orthogonal and symplectic 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. ⋮ Mathieu groups and its degree prime-power graphs ⋮ Degree Graphs of Simple Linear and Unitary Groups ⋮ Finite groups with special codegrees ⋮ Character degree graphs that are complete graphs

Uses Software

• CHEVIE

Cites Work

• Unnamed Item
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• Regular elements of finite reflection groups
• CHEVIE -- A system for computing and processing generic character tables
• Roots and maximal tori in finite forms of semisimpl e algebraic groups
• Solvable groups whose degree graphs have two connected components
• A solvable group whose character degree graph has diameter $3$
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Degree problems II π - separable character degrees
• On a class of doubly transitive groups

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