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Strongly bounded automorphism groups

Tom 105 / 2006

A. Ivanov Colloquium Mathematicum 105 (2006), 57-67 MSC: 20F50, 03C60, 20E08. DOI: 10.4064/cm105-1-7

Streszczenie

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.

Autorzy

  • A. IvanovInstitute of Mathematics
    Wroc/law University
    Pl. Grunwaldzki 2/4
    50-384 Wroc/law, Poland
    e-mail

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