Algebra Seminar by Charles Cox

On Wednesday the 10th of November 2021, Charles Cox (University of Bristol) will be giving an online seminar on his research at 3pm. The details of his talk are as follows:

Title: What is a wreath product, and how does invariable generation behave with respect to it?

Abstract: The direct product is probably the easiest way to take two groups G and H and define a new one G x H. A wreath product, G wr H, is another way. We’ll begin with a gentle introduction wreath products, and I will try to work only with concrete examples (all infinite groups based in some way on the integers). We’ll then see the notion of a group having an invariable generating set. There are then two proofs that I’ve written recently, whose basic ideas I’ll hopefully capture for an audience new to the definitions being introduced. I hope to illustrate where the proofs have come from and why they are natural.