Strong Gelfand Pairs of the Symplectic Group ${\mathrm{Sp}}_4(q)$ 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…