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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2407.02294 |
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| _version_ | 1866914342574751744 |
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| author | Bley, Werner Hofmann, Tommy Johnston, Henri |
| author_facet | Bley, Werner Hofmann, Tommy Johnston, Henri |
| contents | Let $K$ be a number field, let $A$ be a finite-dimensional semisimple $K$-algebra, and let $Λ$ be an $\mathcal{O}_{K}$-order in $A$. We give practical algorithms that determine whether $Λ$ has stably free cancellation (SFC). As an application, we determine all finite groups $G$ of order at most $383$ such that the integral group ring $\mathbb{Z}[G]$ has SFC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02294 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Determination of the stably free cancellation property for orders Bley, Werner Hofmann, Tommy Johnston, Henri Number Theory Group Theory K-Theory and Homology Rings and Algebras 16H10, 16H20, 16Z05, 20C05, 20C10, 11R33, 11Y40 Let $K$ be a number field, let $A$ be a finite-dimensional semisimple $K$-algebra, and let $Λ$ be an $\mathcal{O}_{K}$-order in $A$. We give practical algorithms that determine whether $Λ$ has stably free cancellation (SFC). As an application, we determine all finite groups $G$ of order at most $383$ such that the integral group ring $\mathbb{Z}[G]$ has SFC. |
| title | Determination of the stably free cancellation property for orders |
| topic | Number Theory Group Theory K-Theory and Homology Rings and Algebras 16H10, 16H20, 16Z05, 20C05, 20C10, 11R33, 11Y40 |
| url | https://arxiv.org/abs/2407.02294 |