Induced orthogonal representations of Galois groups

被引：5

作者：

Michailov, Ivo M. ^{[1
]}

机构：

[1] Constantin Preslavski Univ, Fac Math & Informat, Shumen 9700, Bulgaria

来源：

JOURNAL OF ALGEBRA | 2009年 / 322卷 / 10期

关键词：

Clifford algebra; Embedding problem; Galois; Kummer; Corestriction; Orthogonal representation; Spinor; Modular group; Dihedral group; PTH-POWER CLASSES; MODULE STRUCTURE; TRACE FORMS; EXTENSIONS; CORESTRICTION; UNITY;

D O I：

10.1016/j.jalgebra.2009.07.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a result showing the connection between induced orthogonal representations and corestrictions of group extensions derived from their Clifford groups. By the means of the corestriction map we then obtain new obstructions to the mu(p)-embedding problems given by the group extensions of the modular p-group, and to one mu(2)-embedding problem given by a group extension of the dihedral group. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3713 / 3732

页数：20

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