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Left orderings on inductive limits of amalgamated free products

Published 5 Apr 2023 in math.GR | (2304.02244v3)

Abstract: We study left orderings on countably generated groups. In particular, we construct left orderings of inductive limits of amalgamated free products by using isolated left orderings of the groups appearing in the inductive system. Moreover, we show that they are no longer isolated orderings.

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