6 citations · 13 across the 7 of their papers we have counts for
8 papers
On Schur Rings Over Semigroups
Joseph E. Marrow, Andrew Misseldine
We generalize the idea of a Schur ring of a group to the category of semigroups. Fundamental results of Schur rings over groups are shown to be true for Schur rings over semigroups…
Exponent-Critical Groups
Simon R. Blackburn, William Cocke, Andrew Misseldine +1
We define and investigate the property of being `exponent-critical' for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multi…
Enumeration Techniques on Cyclic Schur Rings
Andrew Misseldine
Any Schur ring is uniquely determined by a partition of the elements of the group. In this paper we present a general technique for enumerating Schur rings over cyclic groups using…
Counting Schur Rings over Cyclic Groups of Semi-prime Order
Joseph Keller, Andrew Misseldine, Max Sullivan
In this paper, we continue the enumeration of Schur rings over cyclic groups. Cyclic groups of semiprime order , where and are distinct primes, are considered. Addition…
On Schur Rings over Infinite Groups III
Nicholas Bastian, Andrew Misseldine
In the paper, we develop further the properties of Schur rings over infinite groups, with particular emphasis on the virtually cyclic group , where is a prime. We…
On Schur Rings Over Infinite Groups
Nicholas Bastian, Jaden Brewer, Andrew Misseldine
Schur rings are a type of subring of the group ring that is spanned by a partition of the group that meets certain conditions. Past literature has exclusively focused on the finite…
Counting Schur Rings over Cyclic Groups
Andrew Misseldine
Any Schur ring is uniquely determined by a partition of the elements of the group. An open question in the study of Schur rings is determining which partitions of the group induce…
Primitive Idempotents of Schur Rings
Andrew Misseldine
In this paper, we explore the nature of central idempotents of Schur rings over finite groups. We introduce the concept of a lattice Schur ring and explore properties of these kind…