Strong Gelfand Pairs of the Dihedral and Dicyclic Groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911105651048448 |
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| author | Marrow, Joseph E. |
| author_facet | Marrow, Joseph E. |
| contents | 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 $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10756 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong Gelfand Pairs of the Dihedral and Dicyclic Groups Marrow, Joseph E. Representation Theory Group Theory 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 $n$. |
| title | Strong Gelfand Pairs of the Dihedral and Dicyclic Groups |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2508.10756 |