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Enumerating Quartic Dihedral Extensions of ℚ

✍ Scribed by Henri Cohen; Francisco Diaz Y Diaz; Michel Olivier


Book ID
110347185
Publisher
Cambridge University Press
Year
2002
Tongue
English
Weight
244 KB
Volume
133
Category
Article
ISSN
0010-437X

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## Abstract Let __L/F__ be a dihedral extension of degree 2__p__, where __p__ is an odd prime. Let __K/F__ and __k/F__ be subextensions of __L/F__ with degrees __p__ and 2, respectively. Then we will study relations between the __p__‐ranks of the class groups Cl(__K__) and Cl(__k__). (© 2005 WILEY‐