FINITELY GENERATED NILPOTENT HC GROUPS ARE FREE ABELIAN

被引：1
|
作者：
TIMM, M
机构：
[1] Department of Mathematics, Bradley University, Peoria
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 1994年 / 95卷 / 03期
关键词：
D O I：
10.1016/0022-4049(94)90067-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A group G is hc if and only if every finite index subgroup of G is isomorphic to G. If G is finitely generated, nilpotent, and hc, then G is free abelian with rank equal to the minimal number of generators of G. A topological corollary is stated.
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页码：353 / 358
页数：6
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