On the local representation theory of symmetric groups
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909639137820672 |
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| author | Tendi, Greta |
| author_facet | Tendi, Greta |
| contents | Given a Sylow $p$-subgroup $P$ of a symmetric group, we describe the action of its normalizer on $\mathrm{Irr}(P)$. To this end, we establish a one-to-one correspondence between the irreducible characters of $P$ and certain equivalence classes of explicitly defined functions, which are also naturally suited to describing the Galois action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the local representation theory of symmetric groups Tendi, Greta Representation Theory Group Theory Given a Sylow $p$-subgroup $P$ of a symmetric group, we describe the action of its normalizer on $\mathrm{Irr}(P)$. To this end, we establish a one-to-one correspondence between the irreducible characters of $P$ and certain equivalence classes of explicitly defined functions, which are also naturally suited to describing the Galois action. |
| title | On the local representation theory of symmetric groups |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2506.04773 |