Browsing by Autor "Ramiro Lafuente-Rodriguez"
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Item type: Item , Divisibility in certain automorphism groups(Springer Nature, 2007) Ramiro Lafuente-RodriguezWe 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.