Splitting the automorphism group of an abelian p-group

被引：0

作者：

Aviñó, MA ^{[1
]}

机构：

[1] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2000年 / 6卷 / 02期

关键词：

abelian p-groups; endomorphism rings; automorphism group;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an abelian p-group sum of finite homocyclic groups Gi. Hero, we determine in which cases the automorphism group of G splits over ker sigma, where sigma : Aut(G) --> Pi (i) Aut(G(i)/pG(i))is the natural epimorphism.

引用

页码：171 / 175

页数：5

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