On the structure of braid groups on complexes
DC Field | Value | Language |
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dc.contributor.author | Byung Hee An | - |
dc.contributor.author | Hyo Won Park | - |
dc.date.available | 2017-09-05T04:49:47Z | - |
dc.date.created | 2017-06-19 | - |
dc.date.issued | 2017-08 | - |
dc.identifier.issn | 0166-8641 | - |
dc.identifier.uri | https://pr.ibs.re.kr/handle/8788114/3647 | - |
dc.description.abstract | We consider the braid group Bn(X) on a finite simplicial complex X, which is a generalization of those on both manifolds and graphs that have been studied already by many authors. We figure out the relationships between geometric decompositions for X and their effects on the braid groups. As applications, we give complete criteria for both the surface embeddability and planarity for X, which are the torsion-freeness of the braid group Bn(X) and its abelianization H1(Bn(X)), respectively. © 2017 Elsevier B.V. All rights reserved. | - |
dc.description.uri | 1 | - |
dc.language | 영어 | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | Braid groups, A complex of groups, Planar embedding | - |
dc.title | On the structure of braid groups on complexes | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.wosid | 000404309600009 | - |
dc.identifier.scopusid | 2-s2.0-85019459021 | - |
dc.identifier.rimsid | 59646 | ko |
dc.date.tcdate | 2018-10-01 | - |
dc.contributor.affiliatedAuthor | Byung Hee An | - |
dc.identifier.doi | 10.1016/j.topol.2017.05.001 | - |
dc.identifier.bibliographicCitation | TOPOLOGY AND ITS APPLICATIONS, v.226, pp.86 - 119 | - |
dc.citation.title | TOPOLOGY AND ITS APPLICATIONS | - |
dc.citation.volume | 226 | - |
dc.citation.startPage | 86 | - |
dc.citation.endPage | 119 | - |
dc.date.scptcdate | 2018-10-01 | - |
dc.description.scptc | 0 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | A complex of groups | - |
dc.subject.keywordAuthor | Braid groups | - |
dc.subject.keywordAuthor | Planar embedding | - |