| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594755 | Journal of Number Theory | 2010 | 10 Pages |
Abstract
Consider the set of number fields unramified away from 2, i.e., unramified outside {2,∞}. We show that there do not exist any such fields of degrees 9 through 15. As a consequence, the following simple groups are ruled out for being the Galois group of an extension which is unramified away from 2: Mathieu groups M11 and M12, PSL(3,3), and alternating groups Aj for 8
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
