Geodesic
Isolated orderings on amalgamated free products
Tetsuya Ito1
1Kyoto University, Japan
Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 121-138

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DOI

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.
DOI : 10.4171/ggd/391
Classification : 20-XX, 06-XX
Mots-clés : Orderable groups, isolated ordering, space of left orderings

Tetsuya Ito  1

1 Kyoto University, Japan 
Tetsuya Ito. Isolated orderings on amalgamated free products. Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 121-138. doi: 10.4171/ggd/391
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