GRAPH BRAID GROUPS AND RIGHT-ANGLED ARTIN GROUPS

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dc.contributor.authorKim, Jee-Hyounko
dc.contributor.authorKo, Ki-Hyoungko
dc.contributor.authorPark, Hyo-Wonko
dc.date.accessioned2013-03-09T17:24:32Z-
dc.date.available2013-03-09T17:24:32Z-
dc.date.created2012-04-03-
dc.date.created2012-04-03-
dc.date.issued2012-01-
dc.identifier.citationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.364, no.1, pp.309 - 360-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10203/96985-
dc.description.abstractWe give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index >= 5. In order to have the necessity part, graphs are organized into small classes so that one of the homological or cohomological characteristics of right-angled Artin groups can be applied. Finally we show that a given graph is planar if the first homology of its 2-braid group is torsion-free, and we leave the corresponding statement for n-braid groups as a conjecture along with a few other conjectures about graphs whose braid groups of index <= 4 are right-angled Artin groups.-
dc.languageEnglish-
dc.publisherAMER MATHEMATICAL SOC-
dc.subjectMORSE-THEORY-
dc.titleGRAPH BRAID GROUPS AND RIGHT-ANGLED ARTIN GROUPS-
dc.typeArticle-
dc.identifier.wosid000299599400011-
dc.identifier.scopusid2-s2.0-82755163136-
dc.type.rimsART-
dc.citation.volume364-
dc.citation.issue1-
dc.citation.beginningpage309-
dc.citation.endingpage360-
dc.citation.publicationnameTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY-
dc.contributor.localauthorKo, Ki-Hyoung-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorBraid group-
dc.subject.keywordAuthorright-angled Artin group-
dc.subject.keywordAuthordiscrete Morse theory-
dc.subject.keywordAuthorplanar-
dc.subject.keywordAuthorgraph-
dc.subject.keywordPlusMORSE-THEORY-
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