Divisibility in certain automorphism groups |
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| Authors: | Ramiro H. Lafuente-Rodríguez |
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| Affiliation: | (1) Universidad Mayor de San Andrés, P.O. Box 8669, La Paz, Bolivia |
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| Abstract: | ![]()
We study solvability of equations of the form x n = g in the groups of order automorphisms of archimedean-complete totally ordered groups of rank 2. We determine exactly which automorphisms of the unique abelian such group have square roots, and we describe all automorphisms of the general ones. |
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| Keywords: | totally ordered groups ordered automorphisms divisible groups archimedean rank |
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