Distinguishing division algebras by finite splitting fields

被引：7
|
作者：
Krashen, Daniel [2 ]
McKinnie, Kelly [1 ]
机构：
[1] Univ Montana, Dept Math Sci, Missoula, MT 59812 USA
[2] Univ Georgia, Dept Math, Athens, GA 30602 USA
来源：
MANUSCRIPTA MATHEMATICA | 2011年 / 134卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
16K20; 16K50; 14F22;
D O I：
10.1007/s00229-010-0390-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.
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页码：171 / 182
页数：12
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