| ID | 41403 |
| フルテキストURL | |
| 著者 |
Kitayama, Hidetaka
Department of Mathematics, Graduate School of Science, Osaka University
|
| 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.
|
| キーワード | inverse Galois problem
explicit polynomials
Siegel modular forms
|
| 発行日 | 2011-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 53巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 155
|
| 終了ページ | 165
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| ISSN | 0030-1566
|
| 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
|
| 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
|
| JaLCDOI |
