Exotic Fusion Systems Related to Sporadic Simple Groups (Version With Code)
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911786836426752 |
|---|---|
| author | van Beek, Martin |
| author_facet | van Beek, Martin |
| contents | We describe several exotic fusion systems related to the Sporadic simple groups at odd primes. More generally, we classify saturated fusion systems supported on Sylow $3$-subgroups of the Conway group $\mathrm{Co}_1$ and the Thompson group $\mathrm{F}_3$, and a Sylow $5$-subgroup of the Monster $\mathrm{M}$, as well as a particular maximal subgroup of the latter two $p$-groups. This work is supported by computations in MAGMA. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_01790 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Exotic Fusion Systems Related to Sporadic Simple Groups (Version With Code) van Beek, Martin Group Theory Representation Theory 20D20, 20D05, 20D08, 55R35 We describe several exotic fusion systems related to the Sporadic simple groups at odd primes. More generally, we classify saturated fusion systems supported on Sylow $3$-subgroups of the Conway group $\mathrm{Co}_1$ and the Thompson group $\mathrm{F}_3$, and a Sylow $5$-subgroup of the Monster $\mathrm{M}$, as well as a particular maximal subgroup of the latter two $p$-groups. This work is supported by computations in MAGMA. |
| title | Exotic Fusion Systems Related to Sporadic Simple Groups (Version With Code) |
| topic | Group Theory Representation Theory 20D20, 20D05, 20D08, 55R35 |
| url | https://arxiv.org/abs/2201.01790 |