Free actions of finite abelian groups on 3-dimensional nilmanifolds

被引：0

作者：

Choi, D ^{[1
]}

Shin, J ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2005年 / 42卷 / 04期

关键词：

group actions; Heisenberg group; almost Bieberbach groups; Affine conjugacy;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study free actions of finite abelian groups on 3-dimensional nilmanifolds. By the works of Bieberbach and Waldhausen, this classification problem is reduced to classifying all normal nilpotent subgroups of almost Bieberbach groups of finite index, up to affine conjugacy. All such actions are completely classified.

引用

页码：795 / 826

页数：32

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