| dc.contributor.author | Tolstykh, Vladimir | en_US |
| dc.date.accessioned | 2019-10-29T17:32:41Z | |
| dc.date.available | 2019-10-29T17:32:41Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.uri | https://dx.doi.org/10.1080/00927872.2012.709566 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12294/1804 | |
| dc.description | WOS: 000348438100008 | en_US |
| dc.description.abstract | Let F be a relatively free algebra of infinite rank x.We say that F has the small index property if any subgroup of Gamma = Aut(F) of index at most x contains the pointwise stabilizer Gamma(U) of a subset U of F of cardinality less than x.We prove that every infinitely generated free nilpotentlabelian group has the small index property, and discuss a number of applications. | en_US |
| dc.description.sponsorship | Russian Federal Target Program "Scientific, Academic, and Teaching Staff of Innovative Russia" | en_US |
| dc.description.sponsorship | This work has been partially supported by the Russian Federal Target Program "Scientific, Academic, and Teaching Staff of Innovative Russia." | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | TAYLOR & FRANCIS INC | en_US |
| dc.relation.ispartof | COMMUNICATIONS IN ALGEBRA | en_US |
| dc.identifier.doi | 10.1080/00927872.2012.709566 | en_US |
| dc.identifier.doi | 10.1080/00927872.2012.709566 | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Automorphisms | en_US |
| dc.subject | Nilpotent Groups | en_US |
| dc.subject | Small Index Property | en_US |
| dc.title | The Small Index Property For Free Nilpotent Groups | en_US |
| dc.type | article | en_US |
| dc.department | İstanbul Arel Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bilgisayar Bölümü | en_US |
| dc.identifier.volume | 43 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 447 | en_US |
| dc.identifier.endpage | 459 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.department-temp | [Tolstykh, Vladimir] Istanbul Arel Univ, Dept Math & Comp Sci, Istanbul, Turkey | en_US |
| dc.institutionauthor | Tolstykh, Vladimir | en_US |
