IA-automorphisms of finitely generated nilpotent groups

被引：6

作者：

Singh, Sandeep ^{[1
]}

Gumber, Deepak ^{[1
]}

Kalra, Hemant ^{[1
]}

机构：

[1] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 07期

关键词：

IA-automorphism; nilpotent group;

D O I：

10.1142/S0219498814500273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An automorphism of a group G is called an IA- automorphism if it induces the identity automorphism on the abelianized group G/G'. Let IA(G) denote the group of all IAautomorphisms of G. We classify all finitely generated nilpotent groups G of class 2 for which IA(G) similar or equal to Inn(G). In particular, we classify all finite nilpotent groups of class 2 for which each IA- automorphism is inner.

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页数：5

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