ID | 41403 |
フルテキストURL | |
著者 |
Kitayama, Hidetaka
Department of Mathematics, Graduate School of Science, Osaka University
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抄録 | We will give an explicit polynomial over ℚ with 3 parameters of degree 40 as a result of the inverse Galois problem. Its Galois group over ℚ (resp. ℚ(√-3)) is isomorphic to PGSp4(3) (resp. PSp4(3)) and it is a regular PSp4(3)-polynomial over ℚ(p√−3). To construct the polynomial and prove its properties above we use some results of Siegel modular forms and permutation group theory.
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キーワード | inverse Galois problem
explicit polynomials
Siegel modular forms
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発行日 | 2011-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 53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 | 155
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終了ページ | 165
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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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言語 |
英語
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著作権者 | 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/vol53/iss1/9
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JaLCDOI |