Demushkin groups of uncountable rank
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929257311109120 |
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| author | Bar-On, Tamar Nikolov, Nikolay |
| author_facet | Bar-On, Tamar Nikolov, Nikolay |
| contents | We extend the theory of countably generated Demushkin groups to Demushkin groups of arbitrary rank. We investigate their algebraic properties and invariants, count their isomorphism classes and study their realization as absolute Galois group. At the end, we compute their profinite completion and conclude with some results on profinite completion of absolute Galois groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04007 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Demushkin groups of uncountable rank Bar-On, Tamar Nikolov, Nikolay Number Theory Group Theory We extend the theory of countably generated Demushkin groups to Demushkin groups of arbitrary rank. We investigate their algebraic properties and invariants, count their isomorphism classes and study their realization as absolute Galois group. At the end, we compute their profinite completion and conclude with some results on profinite completion of absolute Galois groups. |
| title | Demushkin groups of uncountable rank |
| topic | Number Theory Group Theory |
| url | https://arxiv.org/abs/2309.04007 |