Non-nesting actions of Polish groups on real trees

Mathematics – Group Theory

Scientific paper

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7 pages, to appear in J. Pure and Appl. Algebra

Scientific paper

10.1016/j.jpaa.2010.02.012

We prove that if a Polish G with a comeagre conjugacy class has a non-nesting
action on an R-tree, then every element of G fixes a point.

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