Joseph E. Marrow

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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.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…

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…

Strong Gelfand pairs of the sporadic groups and their extensions

The strong Gelfand pairs of the Suzuki family of groups

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

Strong Gelfand Pairs of the Dihedral and Dicyclic Groups

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