Sabancı Üniversitesi Cebir Seminerleri
On character degrees of finite groups and some associated graphs
Nour Alnajjarine
Sabancı University, Türkiye
Let G be a finite group. We define the character degree set of G, cd(G),
to be the set of all character degrees of G, that is, {χ(1) : χ ∈ Irr(G)}, where
Irr(G) is the set of all complex irreducible characters of G.
While studying the character degree set of a finite group G, it is useful to
attach some graph structure on cd(G). In this talk, we introduce some strongly
related undirected graphs associated with cd(G) and present some interesting
results that reflect the strong interplay between the combinatorial properties of
these graphs and the structure of G.
