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dc.contributor.author | MINAMIDE, Arata | en |
dc.contributor.author | TSUJIMURA, Shota | en |
dc.contributor.alternative | 南出, 新 | ja |
dc.contributor.alternative | 辻村, 昇太 | ja |
dc.contributor.transcription | ミナミデ, アラタ | ja-Kana |
dc.contributor.transcription | ツジムラ, ショウタ | ja-Kana |
dc.date.accessioned | 2021-03-03T08:29:29Z | - |
dc.date.available | 2021-03-03T08:29:29Z | - |
dc.date.issued | 2020-09 | - |
dc.identifier.uri | http://hdl.handle.net/2433/261824 | - |
dc.description.abstract | It is well-known that various profinite groups appearing in anabelian geometry satisfy distinctive group-theoretic properties such as the slimness [i.e., the property that every open subgroup is center-free] and the strong indecomposability [i.e., the property that every open subgroup has no nontrivial product decomposition]. In the present paper, we consider another group-theoretic property on profinite groups, which we shall refer to as strong internal indecomposability --this is a stronger property than both the slimness and the strong indecomposability-- and prove that various profinite groups appearing in anabelian geometry [e.g., the étale fundamental groups of hyperbolic curves over number fields, p-adic local fields, or finite fields; the absolute Galois groups of Henselian discrete valuation fields with positive characteristic residue fields or Hilbertian fields] satisfy this property. Moreover, by applying the pro-prime-to-p version of the Grothendieck Conjecture for hyperbolic curves over finite fields of characteristic p [established by Saidi and Tamagawa], together with some considerations on almost surface groups, we also prove that the Grothendieck-Teichmüller group satisfies the strong indecomposability . This gives an affirmative answer to an open problem posed in a first author's previous work. | 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 | 14H30 | en |
dc.subject | 12E30 | en |
dc.subject | profinite group | en |
dc.subject | internal indecomposability | en |
dc.subject | absolute Galois group | en |
dc.subject | étale fundamental group | en |
dc.subject | hyperbolic curve | en |
dc.subject | Grothendieck-Teichmüller group | en |
dc.subject | anabelian geometry | en |
dc.subject.ndc | 410 | - |
dc.title | Internal Indecomposability of Various Profinite Groups in Anabelian Geometry | en |
dc.type | other | - |
dc.type.niitype | Preprint | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 39 | - |
dc.textversion | author | - |
dc.identifier.artnum | RIMS-1926 | - |
dc.sortkey | 1926 | - |
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 | 20K14285 | - |
datacite.awardNumber | 18J10260 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
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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