The conjugacy problem and related problems in lattice-ordered groups

W. Charles Holland, Boaz Tsaban

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We study, from a constructive computational point of view, the techniques used to solve the conjugacy problem in the "generic" lattice-ordered group Aut(ℝ). We use these techniques in order to show that for all f, g ∈ Aut(ℝ), the equation xfx = g is effectively solvable in Aut(ℝ).

Original languageEnglish
Pages (from-to)395-404
Number of pages10
JournalInternational Journal of Algebra and Computation
Issue number2
StatePublished - Apr 2005
Externally publishedYes

Bibliographical note

Funding Information:
The second author is partially supported by the Golda Meir Fund and the Edmund Landau Center for Research in Mathematical Analysis and Related Areas, sponsored by the Minerva Foundation (Germany).


  • Conjugacy problem
  • Lattice-ordered groups
  • Parametric equations


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