Sylow branching trees for symmetric groups
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917943646879744 |
|---|---|
| author | Giannelli, Eugenio Law, Stacey |
| author_facet | Giannelli, Eugenio Law, Stacey |
| contents | Let $p\ge 5$ be a prime and let $P$ be a Sylow $p$-subgroup of a finite symmetric group. To every irreducible character of $P$ we associate a collection of labelled, complete $p$-ary trees. The main results of this article describe Sylow branching coefficients for symmetric groups for all irreducible characters of $P$ in terms of some combinatorial properties of these trees, extending previous work on the linear characters of $P$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07575 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sylow branching trees for symmetric groups Giannelli, Eugenio Law, Stacey Representation Theory Combinatorics Group Theory 20C15, 20C30 Let $p\ge 5$ be a prime and let $P$ be a Sylow $p$-subgroup of a finite symmetric group. To every irreducible character of $P$ we associate a collection of labelled, complete $p$-ary trees. The main results of this article describe Sylow branching coefficients for symmetric groups for all irreducible characters of $P$ in terms of some combinatorial properties of these trees, extending previous work on the linear characters of $P$. |
| title | Sylow branching trees for symmetric groups |
| topic | Representation Theory Combinatorics Group Theory 20C15, 20C30 |
| url | https://arxiv.org/abs/2409.07575 |