WILD RAMIFICATION BOUNDS AND SIMPLE GROUP GALOIS EXTENSIONS RAMIFIED ONLY AT 2

被引：2
作者：
Jones, John W. [1 ]
机构：
[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 03期
关键词：
FIELDS; REPRESENTATIONS;
D O I：
10.1090/S0002-9939-2010-10628-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider finite Galois extensions of Q(p) and deduce bounds on the discriminant of such an extension based on the structure of its Galois group. We then apply these bounds to show that; there are no Galois extensions of Q, unramified outside of {2, infinity}, whose Galois group is one of various finite simple groups. The set of excluded finite simple groups includes several infinite families.
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页码：807 / 821
页数：15
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