collaborators

6 papers

math.GR2026

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…

math.RT2025

Strong Gelfand pairs of the sporadic groups and their extensions

Joseph E. Marrow

A strong Gelfand pair is a finite group and a subgroup where every irreducible character of induces to a multiplicity-free character of . We determine the s…

math.RT2025

The strong Gelfand pairs of the Suzuki family of groups

Joseph E. Marrow

We find every subgroup so that the pair is a strong Gelfand pair.

math.GM2025

The Solution to the Game of Tak

Joseph E. Marrow

We provide answers to natural combinatorial questions which arise from learning the rules to Tak. We solve the discarded cases of the game not previously considered by…

math.RT2025

Strong Gelfand Pairs of the Symplectic Group where is even

Stephen P. Humphries, Joseph E. Marrow

A strong Gelfand pair is a finite group together with a subgroup such that every irreducible character of induces to a multiplicity-free character of . We cl…

math.RT2025

Strong Gelfand Pairs of the Dihedral and Dicyclic Groups

Joseph E. Marrow

A strong Gelfand pair is a finite group and a subgroup where every irreducible character of induces to a multiplicity-free character of . We determine the s…