A note on character degrees of finite solvable groups

DOI10.1080/00927870008827087zbMath0980.20005OpenAlexW2030729349MaRDI QIDQ4508785

Ji Ping Zhang

Publication date: 27 February 2002

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

Full work available at URL: https://doi.org/10.1080/00927870008827087

zbMATH Keywords

finite solvable groupscharacter degree graphsnumbers of connected components

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)

Related Items

SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3, Finite groups with coprime character degrees and codegrees, Groups whose degree graph has three independent vertices, Finite groups whose all irreducible character degrees are Hall-numbers., Finite solvable groups whose character graphs are trees., Non-solvable groups whose character degree graph has a cut-vertex. III, Non-solvable groups whose character degree graph has a cut-vertex. I, Regular character degree graphs., 5-regular prime graphs of finite nonsolvable groups, Non-solvable groups whose character degree graph has a cut-vertex. II, Connectedness of degree graphs of nonsolvable groups., Prime graphs of finite groups with a small number of triangles., Groups whose character degree graph has diameter three, Nonsolvable groups with no prime dividing three character degrees., Finite nonsolvable groups whose character graphs have no triangles., Some linear actions of finite groups with q′-orbits, Bounding Fitting heights of character degree graphs, Finite Groups Whose Character Graphs Associated with Codegrees Have No Triangles, Character degree graphs and normal subgroups, An overview of graphs associated with character degrees and conjugacy class sizes in finite groups., Finite Solvable Groups Whose Character Degree Graphs Are Not Complete, On the character degree graph of finite groups, Finite groups with character degrees of two distinct primes, Finite groups with \(K_4\)-free prime graphs.

Cites Work

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• The \(p\)-length of a solvable group bounded by conditions on its character degree graph
• Supersolvable automorphism groups of solvable groups.
• Equally partitioned groups
• Character Degrees and Derived Length of a Solvable Group
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
• Derived lengths and character degrees