ID | 56017 |
フルテキストURL | |
著者 |
Minamide, Arata
Research Institute for Mathematical Sciences Kyoto University
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抄録 | In this paper, we prove that the etale fundamental group of a hyperbolic curve over an arithmetic field [e.g., a finite extension field of Q or Qp] or an algebraically closed field is indecomposable [i.e., cannot be decomposed into the direct product of nontrivial profinite groups]. Moreover, in the case of characteristic zero, we also prove that the etale fundamental group of the configuration space of a curve of the above type is indecomposable. Finally, we consider the topic of indecomposability in the context of the comparison of the absolute Galois group of Q with the Grothendieck-Teichmuller group GT and pose the question: Is GT indecomposable? We give an affirmative answer to a pro-l version of this question
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キーワード | indecomposability
etale fundamental group
hyperbolic curve
conguration space
Grothendieck-Teichmuller group
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備考 | Mathematics Subject Classication. Primary 14H30; Secondary 11R99.
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発行日 | 2018-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 60巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 175
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終了ページ | 208
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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オフィシャル URL | http://www.math.okayama-u.ac.jp/mjou/
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言語 |
英語
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著作権者 | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol59/iss1/10
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