Abstract by Nicholas Bastian
On Schur Rings over Infinite Groups
Schur rings are a type of subring of the group ring that is determined by a partition of the group. Past literature has exclusively focused on the finite group case. This presentation discusses a paper extending many classic results about Schur rings to infinite groups, including Leung-Man’s classification of Schur rings over finite cyclic groups which is extended to the infinite cyclic group, as well as all torsion-free locally cyclic groups. Schurs rings over free groups and free products are also considered.