On the splitting of the Hilbert class field
β Scribed by Robert J Bond
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 666 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let k be an algebraic number field. We describe a procedure for computing the Hilbert class field 1(k) of k, i.e., the maximal abelian extension unramified at all places. In the first part of the paper we outline the underlying theory and in the second part we present the important algorithms and gi
Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to ZΓ2Z\_ZΓ2Z\_ZΓ2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of
This paper was written at the University of Massachusetts at Amherst. We thank the working seminar on Shimura varieties there for patiently listening to us as we worked through these results. Our thanks also go to R. Schoof for his encouragement and suggestions, as well as to our anonymous (but inva