On generation by triality automorphisms
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910026317168640 |
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| author | Revin, Danila O. Zavarnitsine, Andrei V. |
| author_facet | Revin, Danila O. Zavarnitsine, Andrei V. |
| contents | We clarify the structure of subgroups generated by conjugate graph automorphisms of order $3$ of $O_8^+(2)$ and $O_8^+(3)$. As a result, we obtain a correction to a paper by S. Guest which, in turn, plays an important role in proving the solvable analogue of the Baer--Suzuki theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02277 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On generation by triality automorphisms Revin, Danila O. Zavarnitsine, Andrei V. Group Theory 20D06, 20D10 We clarify the structure of subgroups generated by conjugate graph automorphisms of order $3$ of $O_8^+(2)$ and $O_8^+(3)$. As a result, we obtain a correction to a paper by S. Guest which, in turn, plays an important role in proving the solvable analogue of the Baer--Suzuki theorem. |
| title | On generation by triality automorphisms |
| topic | Group Theory 20D06, 20D10 |
| url | https://arxiv.org/abs/2508.02277 |