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dc.contributor.author | HOSHI , Yuichiro | en |
dc.contributor.author | NISHIO, Yu | en |
dc.contributor.alternative | 星, 裕一郎 | ja |
dc.contributor.alternative | 西尾, 優 | ja |
dc.contributor.transcription | ホシ, ユウイチロウ | ja-Kana |
dc.contributor.transcription | ニシオ, ユウ | ja-Kana |
dc.date.accessioned | 2021-03-03T08:29:30Z | - |
dc.date.available | 2021-03-03T08:29:30Z | - |
dc.date.issued | 2020-11 | - |
dc.identifier.uri | http://hdl.handle.net/2433/261829 | - |
dc.description.abstract | In the present paper, we study the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields from the point of view of anabelian geometry. Let us recall that it is well-known that the natural homomorphism from the automorphism group of a mixed-characteristic local field to the outer automorphism group of the absolute Galois group of the given mixed-characteristic local field is injective. One main result of the present paper is that if the mixed-characteristic local field satisfies certain conditions, then the set of conjugates of the image of this injective homomorphism in the outer automorphism group is infinite, which thus implies that the image of this injective homomorphism is not normal in the outer automorphism group. In particular, one may conclude that it is impossible to establish a functorial group-theoretic reconstruction, from the absolute Galois group, of the "field-theoretic" subgroup, i.e., the image of this injective homomorphism, of the outer automorphism group. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.publisher.alternative | 京都大学数理解析研究所 | ja |
dc.subject | 11S20 | en |
dc.subject | mixed-characteristic local field | en |
dc.subject | absolute Galois group | en |
dc.subject | anabelian geometry | en |
dc.subject | monoanabelian geometry | en |
dc.subject | group of MLF-type | en |
dc.subject.ndc | 410 | - |
dc.title | On the Outer Automorphism Groups of the Absolute Galois Groups of Mixed-characteristic Local Fields | en |
dc.type | other | - |
dc.type.niitype | Preprint | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 12 | - |
dc.textversion | author | - |
dc.identifier.artnum | RIMS-1931 | - |
dc.sortkey | 1931 | - |
dc.address | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.address | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.relation.url | http://www.kurims.kyoto-u.ac.jp/preprint/index.html | - |
dcterms.accessRights | open access | - |
datacite.awardNumber | 18K03239 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
出現コレクション: | 数理解析研究所プレプリント |
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