Louis Funar, Daniele Ettore Otera
Published 2002-09-02, updated 2003-03-19Version 2
We 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.
Comments: 8p., revised version, Archiv Math. (to appear)
Journal: Archiv Math. (Basel) 81(2003), 360-368.
Decision problems for 3-manifolds and their fundamental groups
Duality and invariants of representations of fundamental groups of 3-manifolds into PGL(3,C)
On fundamental groups of spaces of (framed) embeddings of the circle in a $4$-manifold
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