Isolated orderings on amalgamated free products

  • Tetsuya Ito

    Kyoto University, Japan

Abstract

We show that an amalgamated free product admits a discrete isolated ordering, under some assumptions of and . 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.

Cite this article

Tetsuya Ito, Isolated orderings on amalgamated free products. Groups Geom. Dyn. 11 (2017), no. 1, pp. 121–138

DOI 10.4171/GGD/391