The number of k-potent elements in the quaternion algebra HZp
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915047085703168 |
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| author | Flaut, Cristina Baias, Andreea |
| author_facet | Flaut, Cristina Baias, Andreea |
| contents | In this paper we count the number of k-potent elements over HZp , the quaternion algebra over Zp, and we give a descriptive formula for the general case. For k in {3, 4, 5}, we give an explicit formula for these values. Moreover, as an application, we count the number of solutions of the equation xk = 1 over HZp . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02652 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The number of k-potent elements in the quaternion algebra HZp Flaut, Cristina Baias, Andreea Rings and Algebras In this paper we count the number of k-potent elements over HZp , the quaternion algebra over Zp, and we give a descriptive formula for the general case. For k in {3, 4, 5}, we give an explicit formula for these values. Moreover, as an application, we count the number of solutions of the equation xk = 1 over HZp . |
| title | The number of k-potent elements in the quaternion algebra HZp |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2412.02652 |