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- Title
NONABELIAN NORMAL CM-FIELDS OF DEGREE 2pq.
- Authors
Kwon, S.-H.; Louboutin, S.; Park, S.-M.
- Abstract
We prove that the relative class number of a nonabelian normal CM-field of degree 2pq (where p and q are two distinct odd primes) is always greater than four. Not only does this result solve the class number one problem for the nonabelian normal CM-fields of degree 42, but it has also been used elsewhere to solve the class number one problem for the nonabelian normal CM-fields of degree 84.
- Subjects
NONABELIAN groups; PRIME numbers; DISCRIMINANT analysis; FORMALLY real fields; FEIT-Thompson theorem; FIELD extensions (Mathematics); ABELIAN groups; QUADRATIC fields; COMPLEX multiplication
- Publication
Journal of the Australian Mathematical Society, 2009, Vol 87, Issue 1, p129
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788709000081