CERAMATHS–DMATHS Seminar: presentation by Safia Batla

The CÉRAMATHS Department of Mathematics seminar will welcome Safia Batla (CÉRAMATHS) at 2.00 pm on Thursday 12 November 2026 for the following talk:

On the S-Pólya group of a number field

The Pólya group of a number field K is the subgroup of the class group of K generated by the classes of the products of all maximal ideals with the same norm. A number field whose Pólya group is trivial is called a Pólya field. Let S be a set, finite or infinite, of prime ideals of K. In this paper, we generalise some well-known results for the classical Pólya group to the S-Pólya group, denoted Po_S(K). We also present some results concerning imaginary quadratic fields.