Free vs. locally free Kleinian groups

Pankka, Pekka; Souto, Juan

doi:10.1515/crelle-2016-0005

dc.contributor.author	Pankka, Pekka
dc.contributor.author	Souto, Juan
dc.date.accessioned	2019-01-04T07:45:04Z
dc.date.available	2019-01-04T07:45:04Z
dc.date.issued	2019
dc.identifier.citation	Pankka, P., & Souto, J. (2019). Free vs. locally free Kleinian groups. <i>Journal für die reine und angewandte Mathematik</i>, <i>2019</i>(746), 149-170. <a href="https://doi.org/10.1515/crelle-2016-0005" target="_blank">https://doi.org/10.1515/crelle-2016-0005</a>
dc.identifier.other	CONVID_25735882
dc.identifier.other	TUTKAID_70196
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/60894
dc.description.abstract	We prove that Kleinian groups whose limit sets are Cantor sets of Hausdorff dimension < 1 are free. On the other hand we construct for any ε > 0 an example of a non-free purely hyperbolic Kleinian group whose limit set is a Cantor set of Hausdorff dimension < 1 + ε.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	De Gruyter
dc.relation.ispartofseries	Journal für die reine und angewandte Mathematik
dc.rights	CC BY-NC-ND 4.0
dc.subject.other	Kleinian groups
dc.title	Free vs. locally free Kleinian groups
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201901021003
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2019-01-02T07:15:18Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	149-170
dc.relation.issn	0075-4102
dc.relation.numberinseries	746
dc.relation.volume	2019
dc.type.version	publishedVersion
dc.rights.copyright	© 2018 Walter de Gruyter GmbH, Berlin/Boston.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	283082
dc.subject.yso	topologia
dc.subject.yso	ryhmäteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p14067
jyx.subject.uri	http://www.yso.fi/onto/yso/p12497
dc.rights.url	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi	10.1515/crelle-2016-0005
dc.type.okm	A1