ID | 33114 |
FullText URL | |
Author |
Itoh, Tsuyoshi
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Abstract | Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal. In the present paper, we shall consider a question whether a similar result holds when the class number of k is 2p. We also consider an analogous question for the case that k is an imaginary quartic abelian field. |
Keywords | Ideal class group
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Published Date | 2007-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume49
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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 | 185
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End Page | 196
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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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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol49/iss1/13
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JaLCDOI |