Stable Representatives for Symmetric Automorphisms of Groups and the General Form of the Scott Conjecture
نویسنده
چکیده
Let G be a group acting on a tree X such that all edge stabilizers are finite. We extend Bestvina-Handel’s theory of train tracks for automorphisms of free groups to automorphisms of G which permute vertex stabilizers. Using this extension we show that there is an upper bound depending only on G for the complexity of the graph of groups decomposition of the fixed subgroups of such automorphisms of G.
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