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Class groups of dihedral extensions

✍ Scribed by Franz Lemmermeyer

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
203 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

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). (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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