Tohoku Mathematical Journal

Construction of isolated left orderings via partially central cyclic amalgamation

Tetsuya Ito

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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.

Article information

Tohoku Math. J. (2), Volume 68, Number 1 (2016), 49-71.

First available in Project Euclid: 17 March 2016

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20F60: Ordered groups [See mainly 06F15]
Secondary: 06F15: Ordered groups [See also 20F60]

Orderable groups isolated ordering space of left orderings


Ito, Tetsuya. Construction of isolated left orderings via partially central cyclic amalgamation. Tohoku Math. J. (2) 68 (2016), no. 1, 49--71. doi:10.2748/tmj/1458248862.

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