Finite solvable groups whose character graphs are trees.
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Publication:876391
DOI10.1016/j.jalgebra.2006.09.009zbMath1118.20012OpenAlexW2030873907MaRDI QIDQ876391
Publication date: 18 April 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.09.009
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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (5)
Groups which do not have four irreducible characters of degrees divisible by a prime \(p\) ⋮ FINITE SOLVABLE GROUPS WITH DISTINCT MONOMIAL CHARACTER DEGREES ⋮ Nonsolvable groups with no prime dividing three character degrees. ⋮ Finite nonsolvable groups whose character graphs have no triangles. ⋮ Finite Groups Whose Character Graphs Associated with Codegrees Have No Triangles
Cites Work
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- An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
- Finite groups with graphs containing no triangles
- On the diameter of a graph related to \(p\)-regular conjugacy classes of finite groups
- Finite groups whose conjugacy class graphs have few vertices.
- On the Number of Components of a Graph Related to Character Degrees
- On a Graph Related to Conjugacy Classes of Groups
- Finite Groups in which the Degrees of the Nonlinear Irreducible Characters are Distinct
- On the Diameter of a Graph Related to Conjugacy Classes of Groups
- Derived lengths and character degrees
- A note on character degrees of finite solvable groups
- Finite Groups Having Only One Irreducible Representation of Degree Greater than One
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