Class Groups of Dihedral Extensions

Franz Lemmermeyer

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Class Groups of Dihedral Extensions

Franz Lemmermeyer

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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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BibTeX RIS

Franz Lemmermeyer. 2003-01-31. Class Groups of Dihedral Extensions. https://arxiv.org/abs/math/0301387

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