Controlled embeddings into groups that have no non-trivial finite quotients
نویسنده
چکیده
If a class of finitely generated groups G is closed under isometric amalgamations along free subgroups, then every G ∈ G can be quasi-isometrically embedded in a group Ĝ ∈ G that has no proper subgroups of finite index. Every compact, connected, non-positively curved space X admits an isometric embedding into a compact, connected, non-positively curved space X such that X has no non-trivial finite-sheeted coverings. AMS Classification 20E26, 20E06, 53C70; 20F32, 20F06
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