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arXiv · 2508.10756

Strong Gelfand Pairs of the Dihedral and Dicyclic Groups

Joseph E. Marrow
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Abstract

A strong Gelfand pair $(G, H)$ is a finite group $G$ and a subgroup $H$ where every irreducible character of $H$ induces to a multiplicity-free character of $G$. We determine the strong Gelfand pairs of the dihedral groups $D_{2n}$ and the dicyclic groups $Dic_{4n}$ for all $n$.

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BibTeXRIS

Joseph E. Marrow. 2025-08-14. Strong Gelfand Pairs of the Dihedral and Dicyclic Groups. https://arxiv.org/abs/2508.10756

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