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• W2022731488 abstract "Let T be a tree with an action of a finitely generated group G. Given a suitable equivalence relation on the set of edge stabilizers of T (such as commensurability, co-elementarity in a relatively hyperbolic group, or commutation in a commutative transitive group), we define a tree of cylinders T_c. This tree only depends on the deformation space of T; in particular, it is invariant under automorphisms of G if T is a JSJ splitting. We thus obtain Out(G)-invariant cyclic or abelian JSJ splittings. Furthermore, T_c has very strong compatibility properties (two trees are compatible if they have a common refinement)." @default.
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• W2022731488 date "2011-06-22" @default.
• W2022731488 modified "2023-10-18" @default.
• W2022731488 title "Trees of cylinders and canonical splittings" @default.
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• W2022731488 doi "https://doi.org/10.2140/gt.2011.15.977" @default.
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