Finite simple groups acting with fixity 4 and their occurrence as groups of automorphisms of Riemann surfaces (extended version)
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910054298419200 |
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| author | Salfeld, Patrick Waldecker, Rebecca |
| author_facet | Salfeld, Patrick Waldecker, Rebecca |
| contents | In previous work, all finite simple groups that act with fixity 4 have been classified. In this article we investigate which ones of these groups act faithfully on a compact Riemann surface of genus at least 2 with fixity four in total and in such a way that fixity 4 is exhibited on at least one orbit. This is an extended version of the submitted article, including our GAP code. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05985 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite simple groups acting with fixity 4 and their occurrence as groups of automorphisms of Riemann surfaces (extended version) Salfeld, Patrick Waldecker, Rebecca Group Theory In previous work, all finite simple groups that act with fixity 4 have been classified. In this article we investigate which ones of these groups act faithfully on a compact Riemann surface of genus at least 2 with fixity four in total and in such a way that fixity 4 is exhibited on at least one orbit. This is an extended version of the submitted article, including our GAP code. |
| title | Finite simple groups acting with fixity 4 and their occurrence as groups of automorphisms of Riemann surfaces (extended version) |
| topic | Group Theory |
| url | https://arxiv.org/abs/2412.05985 |