Filtrations of free groups as intersections

被引：6

作者：

Efrat, Ido ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

ARCHIV DER MATHEMATIK | 2014年 / 103卷 / 05期

基金：

以色列科学基金会;

关键词：

Lower central filtration; Lower p-central filtration; Zassenhaus filtration; Profinite groups; Upper-triangular unipotent representations;

D O I：

10.1007/s00013-014-0701-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For several natural filtrations of a free group S, we express the n-th term of the filtration as the intersection of all kernels of homomorphisms from S to certain groups of upper-triangular unipotent matrices. This generalizes a classical result of Grun for the lower central filtration. In particular, we do this for the n-th term in the lower p-central filtration of S.

引用

页码：411 / 420

页数：10

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