Finite Solvable Groups Whose Character Degree Graphs Are Not Complete

DOI10.1142/S1005386706000496zbMath1113.20011OpenAlexW2004079540MaRDI QIDQ3421797

Ji Ping Zhang

Publication date: 8 February 2007

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

Full work available at URL: https://doi.org/10.1142/s1005386706000496

zbMATH Keywords

finite solvable groupsirreducible complex characters\(p\)-lengthscharacter degree graphs

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 (6)

Regular character degree graphs. ⋮ Character degree graphs with no complete vertices. ⋮ Blocks of defect zero in finite groups with conjugate subgroups of prime order \(p\). ⋮ Finite Groups Whose Character Graphs Associated with Codegrees Have No Triangles ⋮ Character degrees, conjugacy class sizes, and element orders: three primes ⋮ Finite Groups Whose Character Degree Graphs Are Empty Graphs

Cites Work

• Unnamed Item
• Unnamed Item
• The \(p\)-length of a solvable group bounded by conditions on its character degree graph
• Supersolvable automorphism groups of solvable groups.
• A solvable group whose character degree graph has diameter $3$
• Character Degrees and Derived Length of a Solvable Group
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
• A note on character degrees of finite solvable groups

This page was built for publication: Finite Solvable Groups Whose Character Degree Graphs Are Not Complete