School of Mathematics & Physics, University of Lincoln
On Wednesday the 3rd of March 2021, Victor Fadinger (University of Graz) will be giving a seminar on his research at 3pm via Microsoft Teams. The details of his talk are as follows:
Title: The monoid of product-one sequences over subsets of groups
Abstract: If G is a multiplicatively written group and H is a subset of G, then one can consider the set of all finite formal sequences over H up to permutation with concatenation of sequences as operation, such that for each sequence there exists a permutation of the elements whose product is 1. It is called the monoid of product-one sequences over H and we will investigate some algebraic and arithmetic properties of it, with a special emphasis on subsets of the infinite dihedral group. This is joint work with Qinghai Zhong.