DC Field | Value | Language |
---|---|---|
dc.contributor.author | Higes, J | - |
dc.contributor.author | Peng, I | - |
dc.date.accessioned | 2016-03-31T08:37:14Z | - |
dc.date.available | 2016-03-31T08:37:14Z | - |
dc.date.created | 2013-03-28 | - |
dc.date.issued | 2013-02 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.other | 2013-OAK-0000027281 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/15673 | - |
dc.description.abstract | We prove that the asymptotic Assouad-Nagata dimension of a connected Lie group G equipped with a left-invariant Riemannian metric coincides with its topological dimension of G/C where C is a maximal compact subgroup. To prove it we will compute the Assouad-Nagata dimension of connected solvable Lie groups and semisimple Lie groups. As a consequence we show that the asymptotic Assouad-Nagata dimension of a polycyclic group equipped with a word metric is equal to its Hirsch length and that some wreath-type finitely generated groups can not be quasi-isometrically embedded into any cocompact lattice on a connected Lie group. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | Springer | - |
dc.relation.isPartOf | Mathematische Zeitschrift | - |
dc.subject | Asymptotic dimension | - |
dc.subject | Assouad-Nagata dimension | - |
dc.subject | Polycyclic groups | - |
dc.subject | Connected Lie groups | - |
dc.subject | ASYMPTOTIC DIMENSION | - |
dc.subject | DISCRETE-GROUPS | - |
dc.subject | LIPSCHITZ EXTENSIONS | - |
dc.subject | UNIFORM EMBEDDINGS | - |
dc.subject | SPACES | - |
dc.subject | CONES | - |
dc.title | Assouad-Nagata dimension of connected Lie groups | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1007/S00209-012-1004-1 | - |
dc.author.google | Higes, J | - |
dc.author.google | Peng, I | - |
dc.relation.volume | 273 | - |
dc.relation.issue | 1-2 | - |
dc.relation.startpage | 283 | - |
dc.relation.lastpage | 302 | - |
dc.contributor.id | 11125669 | - |
dc.relation.journal | Mathematische Zeitschrift | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Mathematische Zeitschrift, v.273, no.1-2, pp.283 - 302 | - |
dc.identifier.wosid | 000313445300013 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 302 | - |
dc.citation.number | 1-2 | - |
dc.citation.startPage | 283 | - |
dc.citation.title | Mathematische Zeitschrift | - |
dc.citation.volume | 273 | - |
dc.contributor.affiliatedAuthor | Peng, I | - |
dc.identifier.scopusid | 2-s2.0-84872355629 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 1 | - |
dc.description.scptc | 1 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordPlus | ASYMPTOTIC DIMENSION | - |
dc.subject.keywordPlus | DISCRETE-GROUPS | - |
dc.subject.keywordPlus | LIPSCHITZ EXTENSIONS | - |
dc.subject.keywordPlus | UNIFORM EMBEDDINGS | - |
dc.subject.keywordPlus | SPACES | - |
dc.subject.keywordPlus | CONES | - |
dc.subject.keywordAuthor | Asymptotic dimension | - |
dc.subject.keywordAuthor | Assouad-Nagata dimension | - |
dc.subject.keywordAuthor | Polycyclic groups | - |
dc.subject.keywordAuthor | Connected Lie groups | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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