CLASSIFICATION OF FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS

We study free actions of finite groups on 3-dimensional nilmanifolds with the first homology $\bz^2\oplus \bz_p$. 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...

Full description

Saved in:
Bibliographic Details
Published inJournal of the Korean Mathematical Society pp. 1411 - 1440
Main Authors 구대환, 오명성, 신준국
Format Journal Article
LanguageEnglish
Published 대한수학회 01.01.2017
Subjects
수학
Online AccessGet full text
ISSN0304-9914
2234-3008
DOI10.4134/JKMS.j160394

Cover

More Information
Summary:We study free actions of finite groups on 3-dimensional nilmanifolds with the first homology $\bz^2\oplus \bz_p$. 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. KCI Citation Count: 3
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j160394