On the multiplicative group of a two-sided skew brace of solvable type
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914422559080448 |
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| author | Damele, Marco |
| author_facet | Damele, Marco |
| contents | We prove that if $(B,+,\cdot)$ is a two-sided skew brace whose additive group is solvable, then every finite quotient of the multiplicative group $(B,\cdot)$ is solvable. In particular, our result recovers Nasybullov's theorem in the finite case ~\cite[Theorem~4.3(1)]{Nas} and extends it to arbitrary two-sided skew braces of solvable type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24637 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the multiplicative group of a two-sided skew brace of solvable type Damele, Marco Group Theory Rings and Algebras We prove that if $(B,+,\cdot)$ is a two-sided skew brace whose additive group is solvable, then every finite quotient of the multiplicative group $(B,\cdot)$ is solvable. In particular, our result recovers Nasybullov's theorem in the finite case ~\cite[Theorem~4.3(1)]{Nas} and extends it to arbitrary two-sided skew braces of solvable type. |
| title | On the multiplicative group of a two-sided skew brace of solvable type |
| topic | Group Theory Rings and Algebras |
| url | https://arxiv.org/abs/2603.24637 |