TBA
Title: Covering finite groups by conjugate elements.
Abstract: Let G be a finite group. The product of conjugacy classes in G is defined by the usual set product in the group G. The main question is, for a given collection of non-trivial conjugacy classes, how large is this product set? In particular, when does this set cover the entire group G? It is a well-established theme in finite group theory that is very active at the current moment. The works of Bertram, Herzog, Lev, Kaplan, Guralnick, Malle, Burness, etc. are good sources of motivation for this problem. In this talk, I will first discuss some already known results in this direction and some of the open problems. Following this, I will discuss the joint work conducted in collaboration with Dr. Rijubrata Kundu and Dr. Sumit C. Mishra.
Prerequisite: This talk aims to keep the presentation accessible and relatively non-technical; only a basic understanding of group theory will be entirely sufficient.