Strong Gelfand Pairs of the Symplectic Group Sp 4 ( q ) Where q Is Even

Stephen P. Humphries () and Joseph E. Marrow
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Stephen P. Humphries: Department of Mathematics, Brigham Young University, Provo, UT 84602, USA
Joseph E. Marrow: Department of Mathematics, Brigham Young University, Provo, UT 84602, USA

Mathematics, 2025, vol. 13, issue 18, 1-11

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 symplectic groups Sp 4 ( q ) for even q .

Keywords: strong Gelfand pair; symplectic group; irreducible character; multiplicity one subgroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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