| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415520 | Journal of Number Theory | 2015 | 12 Pages |
Abstract
The p-group generation algorithm is used to verify that the Hilbert 3-class field tower has length 3 for certain imaginary quadratic fields K with 3-class group Cl3(K)â [3,3]. Our results provide the first examples of finite p-class towers of length >2 for an odd prime p.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michael R. Bush, Daniel C. Mayer,