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

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 Sp4(q) for even q.

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