Schur covers of skew braces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911768037556224 |
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| author | Letourmy, T. Vendramin, L. |
| author_facet | Letourmy, T. Vendramin, L. |
| contents | We develop the theory of Schur covers of finite skew braces. We prove the existence of at least one Schur cover. We also compute several examples. We prove that different Schur covers are isoclinic. Finally, we prove that Schur covers have the lifting property concerning projective representations of skew braces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_03970 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Schur covers of skew braces Letourmy, T. Vendramin, L. Group Theory K-Theory and Homology Quantum Algebra Rings and Algebras 16T25, 81R50 We develop the theory of Schur covers of finite skew braces. We prove the existence of at least one Schur cover. We also compute several examples. We prove that different Schur covers are isoclinic. Finally, we prove that Schur covers have the lifting property concerning projective representations of skew braces. |
| title | Schur covers of skew braces |
| topic | Group Theory K-Theory and Homology Quantum Algebra Rings and Algebras 16T25, 81R50 |
| url | https://arxiv.org/abs/2302.03970 |