Isolated orderings on amalgamated free products

Abstract

We show that an amalgamated free product $G{\ast }_{A}H$ 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.

10 pages, 3 figures

References in corpus (1)

• Construction of isolated left orderings via partially central cyclic amalgamation