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arXiv · 1807.08082

Free products of circularly-ordered groups with amalgamated subgroup

Adam Clay·Tyrone Ghaswala
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Abstract

This paper gives necessary and sufficient conditions that the free product with amalgamation of circularly-ordered groups admit a circular ordering extending the given orderings of the factors. Our result follows from establishing a categorical framework that allows the problem to be restated in terms of amalgamating certain left-ordered central extensions, where we are able to apply work of Bludov and Glass.

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Adam Clay, Tyrone Ghaswala. 2019-04-25. Free products of circularly-ordered groups with amalgamated subgroup. https://doi.org/10.1112/jlms.12230

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