Controlled embeddings into groups that have no non - trivial nite quotients
نویسنده
چکیده
If a class of nitely generated groups G is closed under isometric amalgamations along free subgroups, then every G 2 G can be quasi-isometrically embedded in a group Ĝ 2 G that has no proper subgroups of nite 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 nite-sheeted coverings. AMS Classi cation 20E26, 20E06, 53C70; 20F32, 20F06
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Controlled embeddings into groups that have no non-trivial finite quotients
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