Isolated orderings on amalgamated free products
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🧮 math.GR
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isolatedorderingsamalgamatedfreeorderingadmitsassumptionsauthor
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We show that an amalgamated free product $G*_{A}H$ admits a discrete isolated ordering, under some assumptions of $G,H$ and $A$. This generalizes the author's previous construction of isolated orderings, and unlike known constructions of isolated orderings, can produce an isolated ordering with many non-trivial proper convex subgroups.
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