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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

IMPACT FACTOR 2018: 0.490

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Volume 64, Issue 3


Ordering free products of groups

I. Chiswell
Published Online: 2014-07-05 | DOI: https://doi.org/10.2478/s12175-014-0235-5


A method of constructing orders on free products of groups is given, based on work of Botto Mura and Rhemtulla, and of Holland and Medvedev.

MSC: Primary 20F60; Secondary 20E06, 06F15

Keywords: free product; partially ordered group; ordered group

  • [1] BERGMAN, G. M.: Specially ordered groups, Comm. Algebra 12 (1984), 2315–2333. http://dx.doi.org/10.1080/00927878408823111CrossrefGoogle Scholar

  • [2] CHISWELL, I. M.: Ordering graph products of groups, Internat. J. Algebra Comput. 22 (2012), 1250037, 14 pp. CrossrefGoogle Scholar

  • [3] HOLLAND, W. C— MEDVEDEV, N. Ya.: A very large class of small varieties of latticeordered groups, Comm. Algebra 22 (1994), 551–578. http://dx.doi.org/10.1080/00927879408824863CrossrefGoogle Scholar

  • [4] LYNDON, R. C.— SCHUPP, P. E.: Combinatorial group theory. Ergebnisse der Math. No. 89, Springer, Berlin-Heidelberg-New York, 1977. Google Scholar

  • [5] BOTTO MURA, R.— RHEMTULLA, A.: Orderable groups. Lect. Notes Pure Appl. Math. 27, Marcel Dekker, New York-Basel, 1977. Google Scholar

  • [6] VINOGRADOV, A. A.: On the free product of ordered groups, Mat. Sb. (N.S.) 25(67) (1949), 163–168. Google Scholar

About the article

Published Online: 2014-07-05

Published in Print: 2014-06-01

Citation Information: Mathematica Slovaca, Volume 64, Issue 3, Pages 707–726, ISSN (Online) 1337-2211, DOI: https://doi.org/10.2478/s12175-014-0235-5.

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© 2014 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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