Infinitely generated free nilpotent groups: completeness of the automorphism groups

被引：4

作者：

Tolstykh, Vladimir ^{[1
]}

机构：

[1] Yeditepe Univ, Dept Math, TR-34755 Istanbul, Turkey

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 147卷

关键词：

D O I：

10.1017/S0305004109990077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We transfer the results of Dyer, Formanek and Kassabov on the automorphism towers of finitely generated free nilpotent groups to infinitely generated free nilpotent groups. We prove that the automorphism groups of infinitely generated free nilpotent groups are complete. By combining the results of Dyer, Formanek and Kassabov with the results in this paper, one gets that the automorphism tower of any free nilpotent group terminates after finitely many steps.

引用

页码：541 / 566

页数：26

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