JP Journal of Algebra, Number Theory and Applications
Volume 8, Issue 1, Pages 81 - 105
(June 2007)
|
|
THE STRUCTURE OF THE 2-SYLOW SUBGROUPS OF THE IDEAL CLASS GROUPS OF IMAGINARY BICYCLIC BIQUADRATIC FIELDS
Charles J. Parry (U. S. A.) and Ramona R. Ranalli (U. S. A.)
|
Abstract: In this article a method for determining the structure of the 2-Sylow subgroup of the class group of an imaginary bicyclic biquadratic number field is described. As an application of our method, the structure of the 2-class group of all known imaginary bicyclic biquadratic extensions of Q with class numbers 8 and 16 is determined. |
Keywords and phrases: class group, biquadratic fields. |
|
Number of Downloads: 417 | Number of Views: 1259 |
|