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ID 115612
Author
Ichimura, Humio Ibaraki University
Keywords
class group
2-part
imaginary cyclic field
Content Type
Journal Article
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.
Journal Title
Tokyo Journal of Mathematics
ISSN
03873870
NCID
AA00459459
Publisher
Project Euclid|Publication Committee for the Tokyo Journal of Mathematics
Volume
44
Issue
1
Start Page
157
End Page
173
Published Date
2021-01-07
EDB ID
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Author
departments
Science and Technology