J. Korean Math. Soc. 2017; 54(5): 1411-1440
Online first article August 18, 2017 Printed September 1, 2017
https://doi.org/10.4134/JKMS.j160394
Copyright © The Korean Mathematical Society.
Daehwan Koo, Myungsung Oh, and Joonkook Shin
Daejeon Science High School for the Gifted, Chungnam National University, Chungnam National University
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.
Keywords: affine conjugacy, almost Bieberbach group, group action, Heisenberg group
MSC numbers: Primary 57S25; Secondary 57M05, 57S17
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