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2016 Construction of isolated left orderings via partially central cyclic amalgamation
Tetsuya Ito
Tohoku Math. J. (2) 68(1): 49-71 (2016). DOI: 10.2748/tmj/1458248862

Abstract

We give a new method to construct isolated left orderings of groups whose positive cones are finitely generated. Our construction uses an amalgamated free product of two groups having an isolated ordering. We construct a lot of new examples of isolated orderings, and give an example of isolated left orderings with various properties which previously known isolated orderings do not have.

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Tetsuya Ito. "Construction of isolated left orderings via partially central cyclic amalgamation." Tohoku Math. J. (2) 68 (1) 49 - 71, 2016. https://doi.org/10.2748/tmj/1458248862

Information

Published: 2016
First available in Project Euclid: 17 March 2016

zbMATH: 1339.06018
MathSciNet: MR3476136
Digital Object Identifier: 10.2748/tmj/1458248862

Subjects:
Primary: 20F60
Secondary: 06F15

Rights: Copyright © 2016 Tohoku University

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Vol.68 • No. 1 • 2016
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