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The conjugacy problem and related problems in lattice-ordered groups

群论 2010-08-02 v2 计算复杂性 一般拓扑

摘要

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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引用

@article{arxiv.math/0507041,
  title  = {The conjugacy problem and related problems in lattice-ordered groups},
  author = {W. Charles Holland and Boaz Tsaban},
  journal= {arXiv preprint arXiv:math/0507041},
  year   = {2010}
}

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