Subgroups defining automorphisms in locally nilpotent groups

被引：2

作者：

Cutolo, G

Nicotera, C

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

[2] Univ Salerno, Dipartimento Matemat & Informat, I-84081 Baronissi, SA, Italy

来源：

FORUM MATHEMATICUM | 2003年 / 15卷 / 04期

关键词：

D O I：

10.1515/form.2003.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate some situation in which automorphisms of a group G are uniquely determined by their restrictions to a proper subgroup H. Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is. As an application we prove that certain countably infinite locally nilpotent groups have uncountably many ( outer) automorphisms.

引用

页码：489 / 506

页数：18

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