Strong Gelfand Pairs of the Symplectic Group $\boldsymbol{\rm Sp}_4(q)$ where $q$ is even
Stephen P. Humphries, Joseph E. Marrow
Published: 2025/4/28
Abstract
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 classify the strong Gelfand pairs of the finite symplectic groups ${\rm Sp}_4(q)$ for even $q$.