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NONABELIAN NORMAL CM-FIELDS OF DEGREE 2pq
- Authors
- Kwon, S. -H.; Louboutin, S.; Park, S. -M.
- Issue Date
- 8월-2009
- Publisher
- CAMBRIDGE UNIV PRESS
- Keywords
- CM-field; relative class number; number field
- Citation
- JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.87, no.1, pp.129 - 144
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- Volume
- 87
- Number
- 1
- Start Page
- 129
- End Page
- 144
- ISSN
- 1446-7887
- 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.
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