Construction of a group of automorphisms for an infinite family of Garside groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2014
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| _version_ | 1866917840813031424 |
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| author | Chouraqui, Fabienne |
| author_facet | Chouraqui, Fabienne |
| contents | The structure groups of non-degenerate symmetric set-theoretical solutions of the quantum Yang-Baxter equation provide an infinite family of Garside groups with many interesting properties. Given a non-degenerate symmetric solution, we construct for its structure group a group of automorphisms. Moreover, we show this group of automorphisms admits a subgroup that preserves the Garside properties of the structure group. In some cases, we could also prove the group of automorphisms obtained is an outer automorphism group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1411_1189 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Construction of a group of automorphisms for an infinite family of Garside groups Chouraqui, Fabienne Group Theory Quantum Algebra The structure groups of non-degenerate symmetric set-theoretical solutions of the quantum Yang-Baxter equation provide an infinite family of Garside groups with many interesting properties. Given a non-degenerate symmetric solution, we construct for its structure group a group of automorphisms. Moreover, we show this group of automorphisms admits a subgroup that preserves the Garside properties of the structure group. In some cases, we could also prove the group of automorphisms obtained is an outer automorphism group. |
| title | Construction of a group of automorphisms for an infinite family of Garside groups |
| topic | Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/1411.1189 |