Ray Class Groups of Quadratic and Cyclotomic Fields

Details Ray Class Groups of Quadratic and Cyclotomic Fields Ray Class Groups of Quadratic and Cyclotomic Fields

2008-10-27

arxiv.org/abs/0810.4740v2

Mathematics

Number Theory

11 pages

Scientific paper

This paper studies Galois extensions over real quadratic number fields or
cyclotomic number fields ramified only at one prime. In both cases, the ray
class groups are computed, and they give restrictions on the finite groups that
can occur as such Galois groups. Also the explicit structure of ray class
groups of regular cyclotomic number field is given.

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