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arXiv · 1209.3251

On the space of left-orderings of virtually solvable groups

Cristóbal Rivas·Romain Tessera
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Abstract

We show that the space of left-orderings of a countable virtually solvable group is either finite or homeomorphic to a Cantor set. We also provide an explicit description of the space of left-orderings of $SOL=\Z^2\rtimes_T\Z$.

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Cristóbal Rivas, Romain Tessera. 2013-03-22. On the space of left-orderings of virtually solvable groups. https://arxiv.org/abs/1209.3251

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