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

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

1998-10-25

arxiv.org/abs/math/9810188v1

Geom. Topol. Monogr. 1 (1998), 99-116

Mathematics

Group Theory

18 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper4.abs.html

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Controlled embeddings into groups that have no non-trivial finite quotients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Controlled embeddings into groups that have no non-trivial finite quotients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Controlled embeddings into groups that have no non-trivial finite quotients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-331663