A refinement of the simple connectivity at infinity of groups

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dc.creatorFunar, Louis
dc.creatorOtera, Daniele Ettore
dc.date2002-09-02
dc.date2003-03-19
dc.date.accessioned2026-07-07T04:50:32Z
dc.date.available2026-07-07T04:50:32Z
dc.descriptionWe give another proof for a result of Brick stating that the simple connectivity at infinity is a geometric property of finitely presented groups. This allows us to define the rate of vanishing of $\p1i$ for those groups which are simply connected at infinity. Further we show that this rate is linear for cocompact lattices in nilpotent and semi-simple Lie groups, and in particular for fundamental groups of geometric 3-manifolds.
dc.description8p., revised version, Archiv Math. (to appear)
dc.identifierhttps://arxiv.org/abs/math/0209014
dc.identifierhttp://arxiv.org/abs/math/0209014
dc.identifierArchiv Math. (Basel) 81(2003), 360-368.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64826
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject20 F 32, 57 M 50
dc.titleA refinement of the simple connectivity at infinity of groups
dc.typetext

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