DC Field | Value | Language |
---|---|---|
dc.contributor.author | Peng, I | - |
dc.date.accessioned | 2016-03-31T08:37:13Z | - |
dc.date.available | 2016-03-31T08:37:13Z | - |
dc.date.created | 2013-03-28 | - |
dc.date.issued | 2011-08 | - |
dc.identifier.issn | 1016-443X | - |
dc.identifier.other | 2011-OAK-0000027282 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/15672 | - |
dc.description.abstract | We show quasi-isometric rigidity for a class of finitely generated, non-polycyclic nilpotent-by-cyclic groups. Specifically, let Gamma(1), Gamma(2) be ascending HNN extensions of finitely generated nilpotent groups N-1 and N-2, such that Gamma(1) is irreducible (see Definition 1.1). If Gamma(1) and Gamma(2) are quasi-isometric to each other then N-1 and N-2 are virtual lattices in a common simply connected nilpotent Lie group (N) over tilde. As a consequence, we show the class of irreducible ascending HNN extensions of finitely generated nilpotent groups is quasi-isometrically rigid. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | Springer | - |
dc.relation.isPartOf | Geometric and Functional Analysis | - |
dc.subject | Quasi-isometry | - |
dc.subject | nilpotent groups | - |
dc.subject | rigidity | - |
dc.title | Large Scale Geometry of Nilpotent-By-Cyclic Groups | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1007/S00039-011-0129-4 | - |
dc.author.google | Peng, I | - |
dc.relation.volume | 21 | - |
dc.relation.issue | 4 | - |
dc.relation.startpage | 951 | - |
dc.relation.lastpage | 1000 | - |
dc.contributor.id | 11125669 | - |
dc.relation.journal | Geometric and Functional Analysis | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Geometric and Functional Analysis, v.21, no.4, pp.951 - 1000 | - |
dc.identifier.wosid | 000293905300008 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 1000 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 951 | - |
dc.citation.title | Geometric and Functional Analysis | - |
dc.citation.volume | 21 | - |
dc.contributor.affiliatedAuthor | Peng, I | - |
dc.identifier.scopusid | 2-s2.0-80051699864 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 2 | - |
dc.description.scptc | 2 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Quasi-isometry | - |
dc.subject.keywordAuthor | nilpotent groups | - |
dc.subject.keywordAuthor | rigidity | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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