Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-30T15:05:48.032Z Has data issue: false hasContentIssue false
  • English
  • Français

Finitely presented ordered groups

Published online by Cambridge University Press:  20 January 2009

A. M. W. Glass
A. M. W. Glass
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403-0221, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Theorem. There exist non-Abelian finitely presented lattice-ordered groups which are totally ordered. This disproves a previous conjecture of the author [5]

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 2 , June 1990 , pp. 299 - 301
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

REFERENCES

1.Bigard, A., Keimel, K. and Solfenstein, S., Groupes et Anneaux Réticulés (Lecture Notes in Math, No. 608, Springer-Verlag, Heidelberg, 1977).CrossRefGoogle Scholar
2.Cohn, P. M., Universal Algebra (Harper and Row, New York, 1965).Google Scholar
3.Darnel, M. R., Glass, A. M. W. and Rhemtulla, A. H., Groups in which every right order is two sided, Archiv der Math. 53 (1989), 538–542.CrossRefGoogle Scholar
4.Glass, A. M. W., Ordered Permutation Groups (London Math. Soc. Lecture Notes Series No. 55, Cambridge University Press, 1981).Google Scholar
5.Glass, A. M. W., Generating varieties of lattice-ordered groups: approximating wreath products, Illinois J. Math. 30 (1986), 214–221.CrossRefGoogle Scholar