| ID | 53923 |
| FullText URL | |
| Author |
Komatsu, Toru
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| Abstract | In this paper, we study number fields K with the property that every prime factor of the degree of K remains prime in K. We determine all types of Galois groups of such K up to degree nine and find that Wang's non-existence in cyclic octic case is exceptionally undetermined by our group-theoretic criterion.
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| Keywords | Inverse Galois theory
prime factorization
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| Published Date | 2016-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume58
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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 | 159
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| End Page | 167
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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 | Copyright©2016 by the 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/vol58/iss1/8
|
| JaLCDOI |
