On the space of left-orderings of virtually solvable groups
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🧮 math.GR
math.DS
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left-orderingsspacesolvablevirtuallycantorcountabledescriptioneither
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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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