Strongly bounded automorphism groups

• Autorzy: A. Ivanov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20E08: Groups acting on trees
• 20F50: Periodic groups; locally finite groups
• 03C60: Model-theoretic algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 1
• Strony: 57-67

Daty

wydano

2006

Twórcy

autor

A. Ivanov

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm105-1-7