On commutators of foliation preserving homeomorphisms
type: Item
instance of: scholarly article
title: On commutators of foliation preserving homeomorphisms
zbMATH Open document ID: 0928.57034
author: Kazuhiko Fukui
author: Hideki Imanishi
published in: Journal of the Mathematical Society of Japan
publication date: 1999-09-14T00:00:00Z
review text: The authors compute the first homologies of the group of foliation preserving homeomorphisms for codimension one foliations. They show that the group for the Reeb foliation on the 3-sphere is perfect and the groups for irrational linear foliations on the torus are not perfect.
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 1336916
zbMATH Keywords: commutator
zbMATH Keywords: group of foliation preserving homeomorphisms
zbMATH Keywords: codimension one foliations
reviewed by: Andrzej Piatkowski
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05110227
OpenAlex ID: W2003199141
DOI: 10.2969/JMSJ/05110227
description: scientific article; zbMATH DE number 1336916