Jordan property of birational automorphism groups of surfaces and birational permutations
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910255055634432 |
|---|---|
| author | Zaitsev, Alexandr |
| author_facet | Zaitsev, Alexandr |
| contents | We prove that the group of birational automorphisms of a geometrically irreducible algebraic surface over a finite field is Jordan. We show that the analogous statement fails in higher dimensions. Finally, we prove that groups of birational permutations over finite fields have bounded finite $p'$-subgroups; in particular, they are $p$-Jordan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25788 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Jordan property of birational automorphism groups of surfaces and birational permutations Zaitsev, Alexandr Algebraic Geometry 14E07 We prove that the group of birational automorphisms of a geometrically irreducible algebraic surface over a finite field is Jordan. We show that the analogous statement fails in higher dimensions. Finally, we prove that groups of birational permutations over finite fields have bounded finite $p'$-subgroups; in particular, they are $p$-Jordan. |
| title | Jordan property of birational automorphism groups of surfaces and birational permutations |
| topic | Algebraic Geometry 14E07 |
| url | https://arxiv.org/abs/2605.25788 |