Constructing skew left braces whose additive group has trivial centre
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913677387497472 |
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| author | Ballester-Bolinches, A. Esteban-Romero, R. Jiménez-Seral, P. Pérez-Calabuig, V. |
| author_facet | Ballester-Bolinches, A. Esteban-Romero, R. Jiménez-Seral, P. Pérez-Calabuig, V. |
| contents | A complete description of all possible multiplicative groups of finite skew left braces whose additive group has trivial centre is shown. As a consequence, some earlier results of Tsang can be improved and an answer to an open question set by Tsang at Ischia Group Theory 2024 Conference is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructing skew left braces whose additive group has trivial centre Ballester-Bolinches, A. Esteban-Romero, R. Jiménez-Seral, P. Pérez-Calabuig, V. Group Theory Rings and Algebras 16T25, 81R50, 20C35, 20C99, 20D40 A complete description of all possible multiplicative groups of finite skew left braces whose additive group has trivial centre is shown. As a consequence, some earlier results of Tsang can be improved and an answer to an open question set by Tsang at Ischia Group Theory 2024 Conference is provided. |
| title | Constructing skew left braces whose additive group has trivial centre |
| topic | Group Theory Rings and Algebras 16T25, 81R50, 20C35, 20C99, 20D40 |
| url | https://arxiv.org/abs/2405.14699 |