A note on endomorphisms of hypercentral groups

被引：1

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：

JOURNAL OF ALGEBRA | 2002年 / 255卷 / 01期

关键词：

automorphisms and endomorphisms of groups; nilpotent and hypercentral groups;

D O I：

10.1016/S0021-8693(02)00118-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a subnormal subgroup of a hypercentral group G. We prove that endomorphisms of G are uniquely determined by their restrictions to H if and only if Hom(G/H-G, G) = 0, and draw some consequences from this fact. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

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页码：164 / 173

页数：10

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