ADMISSIBILITY OF ALPHA-5

被引：12
作者：
GORDON, B
SCHACHER, M
机构：
[1] Department of Mathematics, University of California, Los Angeles
来源：
JOURNAL OF NUMBER THEORY | 1979年 / 11卷 / 04期
关键词：
D O I：
10.1016/0022-314X(79)90029-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Examples are constructed of division rings finite-dimensional and central over the rational field Q having subfields with Galois group isomorphic to the alternating group A5. Similar results are obtained for any number field k when √-1 ∉ k. © 1979.
引用
收藏
页码：498 / 504
页数：7
相关论文
共 6 条
[1]  
Albert, On p-adic fields and rational division algebras, The Annals of Mathematics, 41, pp. 674-693, (1940)
[2]  
Albert, Structure of Algebras, (1939)
[3]  
Herstein, Noncommutative Rings, (1968)
[4]  
Neukirch, Über das Einbettungsproblem der algebraischen Zahlentheorie, Invent. Math., 21, pp. 59-116, (1973)
[5]  
Reiner, Maximal Orders, (1975)
[6]  
Schacher, Subfields of division rings, J. Algebra, 9, 4, pp. 451-477, (1968)
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