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On laminar groups, Tits alternatives, an...
Alonso, Juan...

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On laminar groups, Tits alternatives, and convergence group actions on S2 by Alonso, Juan ( Author )
Lemonjar Open Access
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13-11-2014
Following previous work of the second author, we establish more properties of groups of circle homeomorphisms which admit invariant laminations. In this paper, we focus on a certain type of such groups-so-called pseudo-fibered groups, and show that many 3-manifold groups are examples of pseudo-fibered groups. We then prove that torsion-free pseudo-fibered groups satisfy a Tits alternative. We conclude by proving that a purely hyperbolic pseudo-fibered group acts on the 2-sphere as a convergence group. This leads to an interesting question if there are examples of pseudo-fibered groups other than 3-manifold groups.
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English
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MYR 0.01
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https://arxiv.org/abs/1411.3532
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