Joseph E. Marrow

collaborators

5 papers

math.RT2025

Strong Gelfand pairs of the sporadic groups and their extensions

Joseph E. Marrow

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

math.RT2025

The strong Gelfand pairs of the Suzuki family of groups

Joseph E. Marrow

We find every subgroup $H \leq S z (q)$ so that the pair $(S z (q), H)$ is a strong Gelfand pair.

math.GM2025

The $3 \times 3$ 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 $3 \times 3$ game not previously considered by…

math.RT2025

Strong Gelfand Pairs of the Dihedral and Dicyclic Groups

Joseph E. Marrow

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

math.RT2025

Strong Gelfand Pairs of the Symplectic Group $Sp_{4} (q)$ where $q$ is even

Stephen P. Humphries, Joseph E. Marrow

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

Strong Gelfand pairs of the sporadic groups and their extensions

The strong Gelfand pairs of the Suzuki family of groups

The 3×3 Solution to the Game of Tak

Strong Gelfand Pairs of the Dihedral and Dicyclic Groups

Strong Gelfand Pairs of the Symplectic Group Sp4​(q) where q is even

The $3 \times 3$ Solution to the Game of Tak

Strong Gelfand Pairs of the Symplectic Group $Sp_{4} (q)$ where $q$ is even