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Hasse-Witt-invariants and dihedral extensions

✍ Scribed by Hans-Georg Rück

Publisher: Springer-Verlag
Year: 1986
Tongue: French
Weight: 198 KB
Volume: 191
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01162340

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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‐