Integral Bases for Subfields of Cyclotomic Fields

被引：0
|
作者：
Thomas Breuer
机构：
[1] Lehrstuhl D für Mathematik,
[2] RWTH Aachen,undefined
[3] D-52056 Aachen,undefined
[4] Germany (e-mail: sam@math.rwth-aachen.de),undefined
来源：
Applicable Algebra in Engineering, Communication and Computing | 1997年 / 8卷
关键词：
Keywords: Cyclotomic fields; Integral bases; Roots of unity.;
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学科分类号：
摘要：
 Integral bases of cyclotomic fields are constructed that allow to determine easily the smallest cyclotomic field in which a given sum of roots of unity lies. For subfields of cyclotomic fields integral bases are constructed that consist of orbit sums of Galois groups on roots of unity. These bases are closely related to the bases of the enveloping cyclotomic fields mentioned above. In both situations bases over the rationals and over cyclotomic fields are treated.
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页码：279 / 289
页数：10
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