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A strong Gelfand pair [Formula: see text] is a group [Formula: see text] together with a subgroup [Formula: see text] such that every irreducible character of [Formula: see text] induces a multiplicity-free character of [Formula: see text]. We classify the strong Gelfand pairs of the special linear groups [Formula: see text], where [Formula: see text] is a prime.
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Barton et al. (2022) studied this question.
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