Groups, Geometry, and Dynamics

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Volume 11, Issue 1, 2017, pp. 121–138
DOI: 10.4171/GGD/391

Published online: 2017-04-20

Isolated orderings on amalgamated free products

Tetsuya Ito[1]

(1) Kyoto University, Japan

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.

Keywords: Orderable groups, isolated ordering, space of left orderings

Ito Tetsuya: Isolated orderings on amalgamated free products. Groups Geom. Dyn. 11 (2017), 121-138. doi: 10.4171/GGD/391