Abstract

A Schur ring is a subring of the group algebra with a basis that is formed by a partition of the group. These subrings were initially used to study finite permutation groups, and classifications of Schur rings over various finite groups have been studied. Here we investigate Schur rings over various infinite groups, including free groups. We classify Schur rings over the infinite cyclic group.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2019-02-01

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd10560

Keywords

Schur ring, permutation group, free group, free abelian group, infinite cyclic group

Language

english

Included in

Mathematics Commons

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