Divisibility in certain automorphism groups
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 3, page 865-875
- ISSN: 0011-4642
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topLafuente-Rodríguez, Ramiro H.. "Divisibility in certain automorphism groups." Czechoslovak Mathematical Journal 57.3 (2007): 865-875. <http://eudml.org/doc/31168>.
@article{Lafuente2007,
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.},
author = {Lafuente-Rodríguez, Ramiro H.},
journal = {Czechoslovak Mathematical Journal},
keywords = {totally ordered groups; ordered automorphisms; divisible groups; archimedean rank; totally ordered groups; ordered automorphisms; divisible groups; Archimedean rank},
language = {eng},
number = {3},
pages = {865-875},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Divisibility in certain automorphism groups},
url = {http://eudml.org/doc/31168},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Lafuente-Rodríguez, Ramiro H.
TI - Divisibility in certain automorphism groups
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 3
SP - 865
EP - 875
AB - 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.
LA - eng
KW - totally ordered groups; ordered automorphisms; divisible groups; archimedean rank; totally ordered groups; ordered automorphisms; divisible groups; Archimedean rank
UR - http://eudml.org/doc/31168
ER -
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