Full automorphism groups of the axial algebra for $M_{11}$ and related algebras
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911431124844544 |
|---|---|
| author | Shumba, Tendai M. Mudziiri Shpectorov, Sergey |
| author_facet | Shumba, Tendai M. Mudziiri Shpectorov, Sergey |
| contents | In this paper, in continuation of arXiv:2311.18538, we compute the full automorphism groups of the 286-dimensional algebra for $M_{11}$, its subalgebras and other related algebras. This includes, in particular, the 101-dimensional algebra for $L_2(11)$ and the 76-dimensional algebra for $A_6$. While smaller algebras can be handled by the fully automatic nuanced method from arXiv:2311.18538, the larger algebras, mentioned above, require a hybrid method combining computation with hand-made proofs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07556 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Full automorphism groups of the axial algebra for $M_{11}$ and related algebras Shumba, Tendai M. Mudziiri Shpectorov, Sergey Rings and Algebras 17-08, 17A36, 17C30, 17D99, 20-04, 20-08, 20B25 In this paper, in continuation of arXiv:2311.18538, we compute the full automorphism groups of the 286-dimensional algebra for $M_{11}$, its subalgebras and other related algebras. This includes, in particular, the 101-dimensional algebra for $L_2(11)$ and the 76-dimensional algebra for $A_6$. While smaller algebras can be handled by the fully automatic nuanced method from arXiv:2311.18538, the larger algebras, mentioned above, require a hybrid method combining computation with hand-made proofs. |
| title | Full automorphism groups of the axial algebra for $M_{11}$ and related algebras |
| topic | Rings and Algebras 17-08, 17A36, 17C30, 17D99, 20-04, 20-08, 20B25 |
| url | https://arxiv.org/abs/2602.07556 |