On the index of circular units in the full group of units of a compositum of quadratic fields
| Authors | |
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| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Number Theory |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | compositum of quadratic fields; circular units; the index of circular units; class number |
| Description | For a compositum of quadratic fields k = Q(pd1; : : : ;pds); where d1; : : : ; ds are square-free odd integers and d1 = 3 (mod 4); 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 |
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