Groups whose prime graph on class sizes has a cut vertex

DOI10.1007/s11856-021-2193-2OpenAlexW3198930103MaRDI QIDQ2055294

Silvio Dolfi, Emanuele Pacifici, Lucia Sanus, Víctor Sotomayor

Publication date: 1 December 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09743

Mathematics Subject Classification ID

Graph theory (05Cxx) Abstract finite groups (20Dxx) Structure and classification of infinite or finite groups (20Exx)

Related Items (4)

Non-solvable groups whose character degree graph has a cut-vertex. III ⋮ Non-solvable groups whose character degree graph has a cut-vertex. I ⋮ Non-solvable groups whose character degree graph has a cut-vertex. II ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022

Cites Work

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• Incomplete vertices in the prime graph on conjugacy class sizes of finite groups.
• On bipartite divisor graphs for group conjugacy class sizes.
• Character degrees, class sizes, and normal subgroups of a certain class of \(p\)-groups
• Arithmetical conditions on the length of the conjugacy classes of a finite group
• Groups whose prime graph on conjugacy class sizes has few complete vertices.
• Solvable groups whose prime divisor character degree graphs are 1-connected
• The prime graph on class sizes of a finite group has a bipartite complement
• On independent sets in the class graph of a finite group.
• Products of primes in conjugacy class sizes and irreducible character degrees.
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
• The Diameter of a Conjugacy Class Graph of Finite Groups

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