1. NONABELIAN NORMAL CM-FIELDS OF DEGREE 2pq.
- Author
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Kwon, S.-H., Louboutin, S., and Park, S.-M.
- Subjects
- *
NONABELIAN groups , *PRIME numbers , *DISCRIMINANT analysis , *FORMALLY real fields , *FEIT-Thompson theorem , *FIELD extensions (Mathematics) , *ABELIAN groups , *QUADRATIC fields , *COMPLEX multiplication - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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