Geodesic
Strongly bounded automorphism groups
A. Ivanov1
1Institute of Mathematics Wroc/law University Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland
Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 57-67

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

A group $G$ is strongly bounded if every isometric action of $G$ on a metric space has bounded orbits. We show that the automorphism groups of typical countable structures with the small index property are strongly bounded. In particular we show that this is the case when $G$ is the automorphism group of the countable universal locally finite extension of a periodic abelian group.
DOI : 10.4064/cm105-1-7
Keywords: group strongly bounded every isometric action metric space has bounded orbits automorphism groups typical countable structures small index property strongly bounded particular automorphism group countable universal locally finite extension periodic abelian group

A. Ivanov  1

1 Institute of Mathematics Wroc/law University Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland 
A. Ivanov. Strongly bounded automorphism groups. Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 57-67. doi: 10.4064/cm105-1-7
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