Almost all wreath product character values are divisible by given primes
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914672749314048 |
|---|---|
| author | Dong, Brandon Graff, Hannah Mundinger, Joshua Rothstein, Skye Vescovo, Lola |
| author_facet | Dong, Brandon Graff, Hannah Mundinger, Joshua Rothstein, Skye Vescovo, Lola |
| contents | For a finite group $G$ with integer-valued character table and a prime $p$, we show that almost every entry in the character table of $G \wr S_N$ is divisible by $p$ as $N \to \infty$. This result generalizes the work of Peluse and Soundararajan on the character table of $S_N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_07261 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Almost all wreath product character values are divisible by given primes Dong, Brandon Graff, Hannah Mundinger, Joshua Rothstein, Skye Vescovo, Lola Representation Theory Combinatorics Group Theory 20C15 (Primary), 05E10 (Secondary) For a finite group $G$ with integer-valued character table and a prime $p$, we show that almost every entry in the character table of $G \wr S_N$ is divisible by $p$ as $N \to \infty$. This result generalizes the work of Peluse and Soundararajan on the character table of $S_N$. |
| title | Almost all wreath product character values are divisible by given primes |
| topic | Representation Theory Combinatorics Group Theory 20C15 (Primary), 05E10 (Secondary) |
| url | https://arxiv.org/abs/2210.07261 |