Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595015 | Journal of Number Theory | 2008 | 17 Pages |
Abstract
For a compositum of quadratic fields , where d1,…,ds are square-free odd integers and , we study the group C of circular units of k. We construct a basis of C, compute the index of C in the full group of units of k and derive a lower bound for the divisibility of this index by a power of 2. These results give a lower bound for the divisibility of the class number of the maximal real subfield of k by a power of 2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory