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Nonhyperbolic free-by-cyclic and one-relator groups

dc.creatorButton, Jack
dc.creatorKropholler, RP
dc.date.accessioned2016-08-01
dc.date.accessioned2018-11-24T23:26:53Z
dc.date.available2016-09-26T09:05:52Z
dc.date.available2018-11-24T23:26:53Z
dc.date.issued2016-08-01
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/260366
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3908
dc.description.abstractWe show that the free-by-cyclic groups of the form $F_2$ $\rtimes$ $\Bbb Z$ act properly cocompactly on CAT(0) square complexes. We also show using generalized Baumslag–Solitar groups that all known groups defined by a 2-generator 1-relator presentation are either SQ-universal or are cyclic or isomorphic to a soluble Baumslag–Solitar group.
dc.languageen
dc.publisherNew York Journal of Mathematics
dc.publisherNew York Journal of Mathematics
dc.publisherhttp://nyjm.albany.edu/j/2016/22-35.html
dc.subjectfree-by-cyclic
dc.subject1-relator
dc.subjectCAT(0)
dc.titleNonhyperbolic free-by-cyclic and one-relator groups
dc.typeArticle


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