Closed groups induced by finitary permutations and their actions on trees

Ivanov, A.

doi:10.1090/S0002-9939-01-06114-7

Closed groups induced by finitary permutations and their actions on trees
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Proc. Amer. Math. Soc. 130 (2002), 875-882 Request permission

Abstract:

We describe permutation groups $G \le Sym(\omega )$ such that $G$ is the closure of the subgroup of all elements with finite support and $G$ can be realized as $Aut(M)$ where $M$ is a saturated structure. We also study isometric actions of such groups on real trees.

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