Charlotte Scott Centre for Algebra

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.

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