Submission date: 4 January 2009

Abstract:

Let T be a rooted tree and Iso(T) be the group of its isometries. We study closed subgroups G of Iso(T) with respect to the number of conjugacy classes of Iso(T) having representatives in G.

Mathematics Subject Classification: 20A15; 03C45; 20E18; 20F45

Keywords and phrases: rooted trees, isometry groups, profinite groups, conjugacy classes, interpretability

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