Examples of nonproper affine actions
type: Item
instance of: scholarly article
title: Examples of nonproper affine actions
zbMATH Open document ID: 0792.57020
author: Todd A. Drumm
published in: Michigan Mathematical Journal
publication date: 1993-06-29T00:00:00Z
review text: This paper is concerned with free subgroups of the affine group that act properly discontinuously on \(\mathbb{R}^ 3\). These subgroups are conjugate to free subgroups of \(H\), the group of motions of Lorentz 3-space. The author gives a condition on a free subgroup of \(H\) which implies that the action is not properly discontinuous. He then constructs a free subgroup which does not satisfy this condition and which also does not act properly discontinuously.
Mathematics Subject Classification ID: 57S30
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 57S20
zbMATH DE Number: 222029
zbMATH Keywords: free subgroups of the affine group that act properly discontinuously on \(\mathbb{R}^ 3\)
zbMATH Keywords: group of motions of Lorentz 3-space
reviewed by: M. Magid
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029004598
OpenAlex ID: W2017799586
DOI: 10.1307/MMJ/1029004598
description: scientific article; zbMATH DE number 222029