On the maximal subgroups of almost simple and primitive perfect groups
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912852192788480 |
|---|---|
| author | Capilla, Patricia Medina Sabatini, Luca |
| author_facet | Capilla, Patricia Medina Sabatini, Luca |
| contents | We prove that, if $G$ is a finite almost simple group and $H$ is a maximal subgroup of $G$, then the $10$th term of the derived series of $H$ is perfect. The same is true if $G$ is perfect and $H$ is core-free. The constant $10$ is best possible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19443 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the maximal subgroups of almost simple and primitive perfect groups Capilla, Patricia Medina Sabatini, Luca Group Theory Primary 20D05, 20B15 We prove that, if $G$ is a finite almost simple group and $H$ is a maximal subgroup of $G$, then the $10$th term of the derived series of $H$ is perfect. The same is true if $G$ is perfect and $H$ is core-free. The constant $10$ is best possible. |
| title | On the maximal subgroups of almost simple and primitive perfect groups |
| topic | Group Theory Primary 20D05, 20B15 |
| url | https://arxiv.org/abs/2601.19443 |