Canonical splittings of groups and 3-manifolds

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dc.creatorScott, Peter
dc.creatorSwarup, Gadde
dc.date2001-07-31
dc.date.accessioned2026-07-07T04:42:49Z
dc.date.available2026-07-07T04:42:49Z
dc.descriptionWe introduce the notion of a `canonical' splitting over Z or ZxZ for a finitely generated group G. We show that when G happens to be the fundamental group of an orientable Haken manifold M with incompressible boundary, then the decomposition of the group naturally obtained from canonical splittings is closely related to the one given by the standard JSJ-decomposition of M. This leads to a new proof of Johannson's Deformation Theorem.
dc.descriptionWe have another paper in preparation which contains far more general algebraic results
dc.identifierhttps://arxiv.org/abs/math/0107232
dc.identifierhttp://arxiv.org/abs/math/0107232
dc.identifierTrans. Amer. Math. Soc. 353 (2001), 4973-5001.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61944
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57M07;57N10;20E06
dc.titleCanonical splittings of groups and 3-manifolds
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