Rota-Baxter operators on groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909741730496512 |
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| author | Bardakov, Valeriy G. Gubarev, Vsevolod |
| author_facet | Bardakov, Valeriy G. Gubarev, Vsevolod |
| contents | Theory of Rota-Baxter operators on rings and algebras has been developed since 1960. Recently, L. Guo, H. Lang, Y. Sheng [arXiv:2009.03492] have defined the notion of Rota-Baxter operator on a group. We provide some general constructions of Rota-Baxter operators on a group. Given a map on a group, we study its extensions to a Rota-Baxter operator. We state the connection between Rota-Baxter operators on a group and Rota-Baxter operators on an associated Lie ring. We describe Rota-Baxter operators on sporadic simple groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_01848 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Rota-Baxter operators on groups Bardakov, Valeriy G. Gubarev, Vsevolod Group Theory 17B38, 20D08 Theory of Rota-Baxter operators on rings and algebras has been developed since 1960. Recently, L. Guo, H. Lang, Y. Sheng [arXiv:2009.03492] have defined the notion of Rota-Baxter operator on a group. We provide some general constructions of Rota-Baxter operators on a group. Given a map on a group, we study its extensions to a Rota-Baxter operator. We state the connection between Rota-Baxter operators on a group and Rota-Baxter operators on an associated Lie ring. We describe Rota-Baxter operators on sporadic simple groups. |
| title | Rota-Baxter operators on groups |
| topic | Group Theory 17B38, 20D08 |
| url | https://arxiv.org/abs/2103.01848 |