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NONABELIAN NORMAL CM-FIELDS OF DEGREE 2pq.
- Source :
-
Journal of the Australian Mathematical Society . Aug2009, Vol. 87 Issue 1, p129-144. 16p. 1 Diagram, 4 Charts. - Publication Year :
- 2009
-
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]
Details
- Language :
- English
- ISSN :
- 14467887
- Volume :
- 87
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 48188499
- Full Text :
- https://doi.org/10.1017/S1446788709000081