Class Groups of Dihedral Extensions

2003/01/31 by Lemmermeyer, Franz · 1 citation
#11R29 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0301387

Abstract

Let L/F be a dihedral extension of degree 2p, 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).

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