ID | 115612 |
Author |
Ichimura, Humio
Ibaraki University
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Keywords | class group
2-part
imaginary cyclic field
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Content Type |
Journal Article
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Description | Let p = 2e+1q + 1 be an odd prime number with 2 ∤ q. Let K be the imaginary cyclic field of conductor p and degree 2e+1. We denote by F the imaginary quadratic subextension of the imaginary (2; 2)-extension K(√2)/K+ with F ≠ K. We determine the Galois module structure of the 2-part of the class group of F.
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Journal Title |
Tokyo Journal of Mathematics
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ISSN | 03873870
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NCID | AA00459459
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Publisher | Project Euclid|Publication Committee for the Tokyo Journal of Mathematics
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Volume | 44
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Issue | 1
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Start Page | 157
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End Page | 173
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Published Date | 2021-01-07
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EDB ID | |
DOI (Published Version) | |
URL ( Publisher's Version ) | |
FullText File | |
language |
eng
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TextVersion |
Author
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departments |
Science and Technology
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