Tohoku Mathematical Journal

Construction of isolated left orderings via partially central cyclic amalgamation

Tetsuya Ito

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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.

Article information

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

Dates
First available in Project Euclid: 17 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1458248862

Digital Object Identifier
doi:10.2748/tmj/1458248862

Mathematical Reviews number (MathSciNet)
MR3476136

Zentralblatt MATH identifier
1339.06018

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

Keywords
Orderable groups isolated ordering space of left orderings

Citation

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. https://projecteuclid.org/euclid.tmj/1458248862


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References

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