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arXiv · 2504.20279

Strong Gelfand Pairs of the Symplectic Group $\boldsymbol{\rm Sp}_4(q)$ where $q$ is even

Stephen P. Humphries·Joseph E. Marrow
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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 $q$.

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BibTeXRIS

Stephen P. Humphries, Joseph E. Marrow. 2025-08-29. Strong Gelfand Pairs of the Symplectic Group $\boldsymbol{\rm Sp}_4(q)$ where $q$ is even. https://arxiv.org/abs/2504.20279

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