The conjugacy problem and related problems in lattice-ordered groups
arXiv:math/0507041 · doi:10.1142/S0218196705002232
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) of order automorphisms of the real line. We use these techniques in order to show that for each choice of parameters f,g in Aut(R), the equation xfx=g is effectively solvable in Aut(R).
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