Number fields unramified away from 2

作者：Jones John W^*

来源：Journal of Number Theory, 2010, 130(6): 1282-1291.

DOI：10.1016/j.jnt.2010.02.005

• Number field
• Prescribed ramification

Consider the set of number fields unramified away from 2, i.e., unramified outside {2, infinity}. 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 M(11) and M(12), PSL(3, 3), and alternating groups A(j) for 8 < j < 16 (values j <= 8 were previously known).

• 出版日期2010-6