Geodesic
Divisibility in certain automorphism groups
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 865-875.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 06F15, 20B27
Keywords: totally ordered groups; ordered automorphisms; divisible groups; archimedean rank 
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     author = {Lafuente-Rodr{\'\i}guez, Ramiro H.},
     title = {Divisibility in certain automorphism groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {865--875},
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     volume = {57},
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     zbl = {1174.06339},
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     url = {http://geodesic.mathdoc.fr/item/CMJ_2007__57_3_a6/}
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Lafuente-Rodríguez, Ramiro H. Divisibility in certain automorphism groups. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 865-875. http://geodesic.mathdoc.fr/item/CMJ_2007__57_3_a6/