Controlled embeddings into groups that have no non-trivial finite quotients

Journal article

If a class of finitely generated groups Curly(G) is closed under isometric amalgamations along free subgroups, then every G in Curly(G) can be quasi-isometrically embedded in a group Hat(G) in Curly(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 Overline(X) such that Overline(X) has no non-trivial finite-sheeted coverings.

Authors: Bridson, M

• Journal: Geom. Topol. Monogr. 1 (1998), 99-116
• Publication date: 1998-10-25
• Keywords: 20E26, 20E06, 53C70, 20F32, 20F06; math.GR; math.GT