NCTS(South)/ NCKU Math Colloquium


DATE2011-03-28ˇ@14:10-15:00

PLACER204, 2F, NCTS, NCKU

SPEAKERProf Mark Lewisˇ]Kent State Universtiyˇ^

TITLEAn overview of character degree graphs of finite groups

ABSTRACT We will show how to associate graphs with the set of character degrees of a finite group. Two obvious questions to ask are (1) what graphs arise this way and (2) if the graph $\Gamma$ is associated to the group $G$, what can be said about the structure of $G$? We will survey the known results and open questions regarding these questions. We will also show how these graphs can be applied to other results regarding character degrees.