SEMINAR: Groups and Combinatorics Seminar, Taking products of permutation groups

Simon Smith (UWA)

will speak on

Taking products of permutation groups

at 3pm Friday May the 30th in Weatherburn Lecture Theatre.

Abstract:

At the AustMS conference, I introduced a new product for permutation groups. At the time, I was in a rush to announce the result because it could be used to solve an open question of P. E. Caprace and N. Monod. Since that talk, much has changed: I have an entirely new construction method that expands the scope of the construction, and I have extended many of the results describing its properties.

In this talk I'll introduce the product again, but this time in more detail. I'll sketch a proof of one of its most striking properties, and I'll talk about three areas of research in which the product has proved to be important (one of which is my DECRA project!).

The content of the talk will be largely combinatorial, and there will be no topology (although I may use the word "closed" accidentally, for which I hope I will be forgiven).