The space of geometric limits of abelian subgroups of PSL2(C)

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dc.contributor.authorBaik, Hyungryulko
dc.contributor.authorClavier, Lucienko
dc.date.accessioned2017-03-28T06:58:05Z-
dc.date.available2017-03-28T06:58:05Z-
dc.date.created2017-03-09-
dc.date.created2017-03-09-
dc.date.issued2016-03-
dc.identifier.citationHIROSHIMA MATHEMATICAL JOURNAL, v.46, no.1, pp.1 - 36-
dc.identifier.issn0018-2079-
dc.identifier.urihttp://hdl.handle.net/10203/221005-
dc.description.abstractWe give a local description of the topology of the space of all geometric limits of closed abelian subgroups of PSL2(C). More precisely, we give geometric descriptions for all possible neighborhoods of a point of this space. Intuition from hyperbolic geometry plays an important role by identifying PSL2(C) with the group of isometries of H-3. The tools and ideas developed in the authors' previous paper on one-generator closed subgroups of PSL2(R) allow one to reduce this problem to a problem about the geometric limits of certain closed subgroups of C and C*.-
dc.languageEnglish-
dc.publisherHIROSHIMA UNIV, GRAD SCH SCI-
dc.subjectCLOSED SUBGROUPS-
dc.titleThe space of geometric limits of abelian subgroups of PSL2(C)-
dc.typeArticle-
dc.identifier.wosid000377673900001-
dc.identifier.scopusid2-s2.0-84962339935-
dc.type.rimsART-
dc.citation.volume46-
dc.citation.issue1-
dc.citation.beginningpage1-
dc.citation.endingpage36-
dc.citation.publicationnameHIROSHIMA MATHEMATICAL JOURNAL-
dc.contributor.localauthorBaik, Hyungryul-
dc.contributor.nonIdAuthorClavier, Lucien-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorChabauty topology-
dc.subject.keywordAuthorKleinian Group-
dc.subject.keywordAuthorGeometric Limit-
dc.subject.keywordPlusCLOSED SUBGROUPS-
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