DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Sang-Hyun | ko |
dc.date.accessioned | 2013-03-11T08:32:14Z | - |
dc.date.available | 2013-03-11T08:32:14Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v.21, no.1-2, pp.235 - 256 | - |
dc.identifier.issn | 0218-1967 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98802 | - |
dc.description.abstract | Gordon and Wilton recently proved that the double D of a free group F amalgamated along a cyclic subgroup C of F contains a surface group if a generator w of C satisfies a certain 3-manifold theoretic condition, called virtually geometricity. Wilton and the author defined the polygonality of w which also guarantees the existence of a surface group in D. In this paper, virtual geometricity is shown to imply polygonality up to descending to a finite-index subgroup of F. That the converse does not hold will follow from an example formerly considered by Manning. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | SUBGROUPS | - |
dc.subject | THEOREM | - |
dc.subject | GRAPHS | - |
dc.title | GEOMETRICITY AND POLYGONALITY IN FREE GROUPS | - |
dc.type | Article | - |
dc.identifier.wosid | 000289260800011 | - |
dc.identifier.scopusid | 2-s2.0-79954439680 | - |
dc.type.rims | ART | - |
dc.citation.volume | 21 | - |
dc.citation.issue | 1-2 | - |
dc.citation.beginningpage | 235 | - |
dc.citation.endingpage | 256 | - |
dc.citation.publicationname | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | - |
dc.contributor.localauthor | Kim, Sang-Hyun | - |
dc.type.journalArticle | Article; Proceedings Paper | - |
dc.subject.keywordAuthor | Whitehead graph | - |
dc.subject.keywordAuthor | subgroup separability | - |
dc.subject.keywordPlus | SUBGROUPS | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | GRAPHS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.