A refinement of the simple connectivity at infinity of groups

Louis Funar; Daniele Ettore Otera

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A refinement of the simple connectivity at infinity of groups

Louis Funar·Daniele Ettore Otera

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Abstract

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.

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Louis Funar, Daniele Ettore Otera. 2003-03-19. A refinement of the simple connectivity at infinity of groups. https://arxiv.org/abs/math/0209014

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