Large orbits of Hall subgroups of solvable linear groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908612416241664 |
|---|---|
| author | Das, Samarth Yang, Yong |
| author_facet | Das, Samarth Yang, Yong |
| contents | Suppose that $G$ is a finite solvable group and let $H$ be a Hall $π$-subgroup, let $b(H)$ be the largest character degree of $H$, we show that $|G:O_{π' π}(G)|_π \leq b(H)^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large orbits of Hall subgroups of solvable linear groups Das, Samarth Yang, Yong Group Theory Suppose that $G$ is a finite solvable group and let $H$ be a Hall $π$-subgroup, let $b(H)$ be the largest character degree of $H$, we show that $|G:O_{π' π}(G)|_π \leq b(H)^2$. |
| title | Large orbits of Hall subgroups of solvable linear groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.22474 |