The conjugacy problem and related problems in lattice-ordered groups

W. Charles Holland; Boaz Tsaban

doi:10.1142/S0218196705002232

The conjugacy problem and related problems in lattice-ordered groups

W. Charles Holland, Boaz Tsaban

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 language	English
Pages (from-to)	395-404
Number of pages	10
Journal	International Journal of Algebra and Computation
Volume	15
Issue number	2
DOIs	https://doi.org/10.1142/S0218196705002232
State	Published - Apr 2005
Externally published	Yes

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).

Keywords

Conjugacy problem
Lattice-ordered groups
Parametric equations

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10.1142/S0218196705002232

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KW - Parametric equations

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The conjugacy problem and related problems in lattice-ordered groups

Abstract

Bibliographical note

Keywords

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