On Lie rings of torsion groups

被引：4

作者：

Martinez, Consuelo ^{[1
]}

Zelmanov, Efim ^{[2
,3
]}

机构：

[1] Univ Oviedo, Dept Matemat, C Calvo Sotelo S-N, Oviedo 33007, Spain

[2] UCSD, Dept Math, La Jolla, CA 92093 USA

[3] KAU, Jeddah, Saudi Arabia

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2016年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

Torsion group; Nil Lie algebra;

D O I：

10.1007/s13373-016-0085-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Lie ring associated to the lower central series of a finitely generated residually-p torsion group is graded nil.

引用

页码：371 / 377

页数：7

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