arXiv:1405.1163 Abstract | arXiv Analytics

arXiv:1405.1163 [math.GR]Abstract References Reviews Resources

Isolated orderings on amalgamated free products

Published 2014-05-06Version 1

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.

Comments: 10 pages, 3 figures

Categories: math.GR

Keywords: amalgamated free product, isolated ordering, non-trivial proper convex subgroups, construction, assumptions

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