| ID | 41403 |
| FullText URL | |
| Author |
Kitayama, Hidetaka
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| Abstract | 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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| Keywords | inverse Galois problem
explicit polynomials
Siegel modular forms
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| Published Date | 2011-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume53
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 155
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| End Page | 165
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol53/iss1/9
|
| JaLCDOI |
