DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Sang-hyun | ko |
dc.date.accessioned | 2013-03-07T19:49:07Z | - |
dc.date.available | 2013-03-07T19:49:07Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.8, no.2, pp.849 - 868 | - |
dc.identifier.issn | 1472-2739 | - |
dc.identifier.uri | http://hdl.handle.net/10203/91135 | - |
dc.description.abstract | We define an operation on finite graphs, called co-contraction. Then we show that for any co-contraction (Gamma) over cap of a finite graph Gamma, the right-angled Artin group on Gamma contains a subgroup which is isomorphic to the right-angled Artin group on (Gamma) over cap. As a corollary, we exhibit a family of graphs, without any induced cycle of length at least 5, such that the right-angled Artin groups on those graphs contain hyperbolic surface groups. This gives the negative answer to a question raised by Gordon, Long and Reid. | - |
dc.language | English | - |
dc.publisher | GEOMETRY TOPOLOGY PUBLICATIONS | - |
dc.subject | SURFACE SUBGROUPS | - |
dc.subject | 3-MANIFOLDS | - |
dc.subject | COHERENCE | - |
dc.subject | COXETER | - |
dc.title | Co-contractions of graphs and right-angled Artin groups | - |
dc.type | Article | - |
dc.identifier.wosid | 000272345500007 | - |
dc.identifier.scopusid | 2-s2.0-72949094458 | - |
dc.type.rims | ART | - |
dc.citation.volume | 8 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 849 | - |
dc.citation.endingpage | 868 | - |
dc.citation.publicationname | ALGEBRAIC AND GEOMETRIC TOPOLOGY | - |
dc.identifier.doi | 10.2140/agt.2008.8.849 | - |
dc.contributor.localauthor | Kim, Sang-hyun | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Co-contraction | - |
dc.subject.keywordAuthor | Graph group | - |
dc.subject.keywordAuthor | Right-angled artin group | - |
dc.subject.keywordAuthor | Surface group | - |
dc.subject.keywordPlus | SURFACE SUBGROUPS | - |
dc.subject.keywordPlus | 3-MANIFOLDS | - |
dc.subject.keywordPlus | COHERENCE | - |
dc.subject.keywordPlus | COXETER | - |
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