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.

引用

页码：353 / 358

页数：6

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