ADDITIVE PROPERTIES OF MULTIPLICATIVE SUBGROUPS OF FINITE INDEX IN FIELDS

被引：5

作者：

BERRIZBEITIA, P

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 112卷 / 02期

关键词：

D O I：

10.2307/2048728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Gallai's theorem, an n-dimensional generalization of Van der Waerden's theorem on arithmetic progression, is used to prove the following theorem: Let F be a field and G subset-of F* a subgroup of finite index n. There is a positive integer N, which depends only on n, so that if Char F = 0 or char F greater-than-or-equal-to N, then G - G = F.

引用

页码：365 / 369

页数：5