REALIZING PROFINITE REDUCED SPECIAL GROUPS

被引：2

作者：

Astier, Vincent ^{[1
]}

Mariano, Hugo ^{[2
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland

[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 250卷 / 02期

关键词：

quadratic forms; special groups; projective limit; profinite; representation theorems; SPACES;

D O I：

10.2140/pjm.2011.250.257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Special groups are an axiomatization of the algebraic theory of quadratic forms over fields. It is known that any finite reduced special group is the special group of some field. We show that any special group that is the projective limit of a projective system of finite reduced special groups is also the special group of some field.

引用

页码：257 / 285

页数：29

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