The third homology of projective special linear group of degree two
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909540083040256 |
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| author | Mirzaii, Behrooz Pérez, Elvis Torres |
| author_facet | Mirzaii, Behrooz Pérez, Elvis Torres |
| contents | In this paper we investigate the third homology of the projective special linear group ${\rm PSL}_2(A)$. As a result of our investigation we prove a projective refined Bloch-Wigner exact sequence over certain class of rings. The projective Bloch-Wigner exact sequence over an algebraically closed field of characteristic zero is a classical result and has many application in algebra, number theory and geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04341 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The third homology of projective special linear group of degree two Mirzaii, Behrooz Pérez, Elvis Torres K-Theory and Homology 19D55, 20J06 In this paper we investigate the third homology of the projective special linear group ${\rm PSL}_2(A)$. As a result of our investigation we prove a projective refined Bloch-Wigner exact sequence over certain class of rings. The projective Bloch-Wigner exact sequence over an algebraically closed field of characteristic zero is a classical result and has many application in algebra, number theory and geometry. |
| title | The third homology of projective special linear group of degree two |
| topic | K-Theory and Homology 19D55, 20J06 |
| url | https://arxiv.org/abs/2401.04341 |