1. Divisibility in certain automorphism groups
- Creator:
- Ramiro H.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- totally ordered groups, ordered automorphisms, divisible groups, and archimedean rank
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public