Class Groups of Dihedral Extensions

Franz Lemmermeyer

arxiv: math/0301387 · v1 · submitted 2003-01-31 · 🧮 math.NT

Class Groups of Dihedral Extensions

Franz Lemmermeyer This is my paper

classification 🧮 math.NT

keywords classdihedralgroupsdegreedegreesextensionextensionsp-ranks

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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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Class Groups of Dihedral Extensions

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