Dense subgroups in the group of interval exchange transformations

dc.contributor.author	Bier, A.
dc.contributor.author	Sushchanskyy, V.
dc.date.accessioned	2019-06-14T03:22:54Z
dc.date.available	2019-06-14T03:22:54Z
dc.date.issued	2014
dc.identifier.citation	Dense subgroups in the group of interval exchange transformations / A. Bier, V. Sushchanskyy // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 232–247. — Бібліогр.: 28 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:37B05, 28D05, 37A05.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/153335
dc.description.abstract	The paper concerns the characterization of the group IET of interval exchange transformations (iet). We investigate a class of rational subgroups of IET. These are subgroups consisting of iet transformations defined by partitions with rational endpoints. We propose a characterization of rational subgroups in terms of infinite supernatural numbers and prove that every such subgroup is dense in IET. We also discuss the properties of these groups.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Dense subgroups in the group of interval exchange transformations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA