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Let $g$ and $h$ be positive elements of a linearly ordered group $G$. Can one always embed $G$ in a linearly ordered group $\overline{G}$ in such a way that $g$ and $h$ are conjugate in $\overline{G}$?

Contributor: V. V. Bludov

Progress

No, not always (V. V. Bludov, Algebra and Logic, 44, no. 6 (2005), 370–380).

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