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.
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页码：795 / 803
页数：9
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