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

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 sp...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser:	Bridson, M
Format:	Journal article
Veröffentlicht:	1998

Beschreibung
Zusammenfassung:	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.

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

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