Common Divisor Character Degree Graphs of Solvable Groups with Four Vertices

DOI10.1080/00927872.2014.955578zbMath1327.20023OpenAlexW1853062739MaRDI QIDQ3448551

Mark L. Lewis, Liguo He

Publication date: 26 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.955578

zbMATH Keywords

finite solvable groupscharacter degree graphscommon divisor graphsdegrees of irreducible complex characters

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (4)

Unnamed Item ⋮ An overview on the bipartite divisor graph for the set of irreducible character degrees ⋮ Five-vertex common divisor character degree graphs of non-solvable groups ⋮ Groups whose bipartite divisor graph for character degrees has four or fewer vertices

Uses Software

• GAP

Cites Work

• Unnamed Item
• Four-vertex degree graphs of nonsolvable groups.
• Graphs of nonsolvable groups with four degree-vertices.
• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• Character theory of finite groups
• Connectedness of degree graphs of nonsolvable groups.
• Bounding graph diameters of solvable groups.
• Solvable groups whose degree graphs have two connected components
• Character degree graphs that are complete graphs
• Degree problems II π - separable character degrees
• Coprimeness among irreducible character degrees of finite solvable groups
• Character degree graphs and normal subgroups

This page was built for publication: Common Divisor Character Degree Graphs of Solvable Groups with Four Vertices