Free centre-by-nilpotent-by-abelian groups

被引：2

作者：

Johnson, Marianne ^{[1
]}

Stoehr, Ralph ^{[1
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2009年 / 41卷

关键词：

FREE CENTRAL EXTENSIONS; HIGHER RELATION MODULES; LIE POWERS; HOMOLOGY; TORSION;

D O I：

10.1112/blms/bdp041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the free centre-by-(nilpotent-of-class-(c - 1))-by-abelian groups F/[gamma(c)(F'), F] are torsion-free for c = 6. This is in startling contrast to the cases when c is a prime and when c = 4, where these relatively free groups contain non-trivial elements of finite order.

引用

页码：795 / 803

页数：9

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