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Schur Rings Over Infinite Groups, Cache Porter Dexter
Schur Rings Over Infinite Groups, Cache Porter Dexter
Theses and Dissertations
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.