On Rota--Baxter operators on finite simple groups of Lie type
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916935616167936 |
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| author | Galt, Alexey Gubarev, Vsevolod |
| author_facet | Galt, Alexey Gubarev, Vsevolod |
| contents | Rota--Baxter operators on groups were introduced by L. Guo, H. Lang, Yu. Sheng in 2020. In 2023, V. Bardakov and the second author showed that all Rota--Baxter operators on simple sporadic groups are splitting, i.\,e. they correspond to exact factorizations of groups. In 2024, the authors of the current paper described all non-splitting Rota--Baxter operators on alternating groups.
Now we describe Rota--Baxter operators on finite simple exceptional groups of Lie type and projective special linear groups of degree two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04961 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Rota--Baxter operators on finite simple groups of Lie type Galt, Alexey Gubarev, Vsevolod Group Theory 20D06 Rota--Baxter operators on groups were introduced by L. Guo, H. Lang, Yu. Sheng in 2020. In 2023, V. Bardakov and the second author showed that all Rota--Baxter operators on simple sporadic groups are splitting, i.\,e. they correspond to exact factorizations of groups. In 2024, the authors of the current paper described all non-splitting Rota--Baxter operators on alternating groups. Now we describe Rota--Baxter operators on finite simple exceptional groups of Lie type and projective special linear groups of degree two. |
| title | On Rota--Baxter operators on finite simple groups of Lie type |
| topic | Group Theory 20D06 |
| url | https://arxiv.org/abs/2509.04961 |