Strongly bounded automorphism groups

A. Ivanov. "Strongly bounded automorphism groups." Colloquium Mathematicae 105.1 (2006): 57-67. <http://eudml.org/doc/283580>.

@article{A2006,
abstract = {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.},
author = {A. Ivanov},
journal = {Colloquium Mathematicae},
keywords = {strongly bounded groups; generic automorphisms; universal locally finite groups; Cayley bounded groups; automorphism groups of countable structures},
language = {eng},
number = {1},
pages = {57-67},
title = {Strongly bounded automorphism groups},
url = {http://eudml.org/doc/283580},
volume = {105},
year = {2006},
}

TY - JOUR
AU - A. Ivanov
TI - Strongly bounded automorphism groups
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 1
SP - 57
EP - 67
AB - 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.
LA - eng
KW - strongly bounded groups; generic automorphisms; universal locally finite groups; Cayley bounded groups; automorphism groups of countable structures
UR - http://eudml.org/doc/283580
ER -