BYU

Abstract by Cache Thompson

Personal Infomation


Presenter's Name

Cache Thompson

Co-Presenters

None

Degree Level

Masters

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Stephen Humphries

Title

Schur Rings Over Free and Free Abelian Groups

Abstract

A Schur ring over a group is determined by a partition of the group into finite sets. Analyzing which partitions of a group produce Schur rings is an open problem for free and free abelian groups. By determining the structure of the sets in a partition containing generators of these groups, we classify Schur rings over some free and free abelian groups.