SEMINAR: Groups and Combinatorics Seminar, Commuting graphs

Michael Giudici (UWA)

will speak on

Commuting graphs

at 3pm Friday 7 November in Mathematics Lecture Room 1.

Abstract:

Given a group G, the commuting graph of G is the graph with vertices the noncentral elements of G, and two vertices are adjacent if and only if they commute. Commuting graphs of other algebraic structures can be defined similarly. Commuting graphs of groups have received a lot of attention in recent years. I will discuss some recent results about the structure of such graphs, and in particular their diameter and which graphs can be the commuting graphs of groups and other algebraic structures.