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Isolated orderings on amalgamated free products

2014/05/06 by Tetsuya Ito, Ito, Tetsuya
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1405.1163

10 pages, 3 figures

arxiv created 2014/05/06 · arxiv updated 2014/05/07

Abstract

We show that an amalgamated free product G*AH 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.

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