Class Groups of Dihedral Extensions

Details Class Groups of Dihedral Extensions Class Groups of Dihedral Extensions

2003-01-31

arxiv.org/abs/math/0301387v1

Mathematics

Number Theory

Scientific paper

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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