Explicit solutions of Galois embedding problems by means of generalized Clifford algebras

被引：6

作者：

Vela, M ^{[1
]}

机构：

[1] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2000年 / 30卷 / 06期

关键词：

D O I：

10.1006/jsco.1999.0384

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we study Galois embedding problems given by central extensions with cyclic kernel. We find a new expression for the obstruction to the solvability of these embedding problems in terms of Galois symbols. We also give a method to construct the solutions when these problems are solvable. We find a solution from a coordinate of the norm of an adequate element in a generalized Clifford algebra. (C) 2000 Academic Press.

引用

页码：811 / 842

页数：32

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