Asymptotics for $6$-torsion and $D_6$-extensions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866908732717268992 |
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| author | Koymans, Peter Oliver, Robert J. Lemke Sofos, Efthymios Thorne, Frank |
| author_facet | Koymans, Peter Oliver, Robert J. Lemke Sofos, Efthymios Thorne, Frank |
| contents | We prove a composite case of the Cohen--Lenstra--Gerth heuristics. Specifically, we establish an asymptotic for the average $6$-torsion of the class group of quadratic number fields. We also prove Malle's conjecture for Galois $D_6$-extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21920 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotics for $6$-torsion and $D_6$-extensions Koymans, Peter Oliver, Robert J. Lemke Sofos, Efthymios Thorne, Frank Number Theory We prove a composite case of the Cohen--Lenstra--Gerth heuristics. Specifically, we establish an asymptotic for the average $6$-torsion of the class group of quadratic number fields. We also prove Malle's conjecture for Galois $D_6$-extensions. |
| title | Asymptotics for $6$-torsion and $D_6$-extensions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.21920 |