Strong Gelfand Pairs of SL(2,p)

2021/08/23 by Barton, Andrea, Humphries, Stephen P. · 4 citations
#FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2108.10281

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 SL(2, p) where p is a prime.

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• Strong Gelfand Pairs of the Dihedral and Dicyclic Groups
• Strong Gelfand Pairs of the Symplectic Group \boldsymbol\rm Sp₄(q) where q is even

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• Strong Gelfand Pairs of the Dihedral and Dicyclic Groups
• Strong Gelfand Pairs of the Symplectic Group \boldsymbol\rm Sp₄(q) where q is even
• The strong Gelfand pairs of the Suzuki family of groups
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