Abstract
A strong Gelfand pair (G, H) is a group G together with a subgroup H such that every irreducible character of H induces a multiplicity-free character of G. We classify the strong Gelfand pairs of the special linear groups where p is a prime.
2020 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
All computations were made using Magma [Citation14]. The authors also thank the referee for useful comments.