Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics

Details Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics

2008-04-29

arxiv.org/abs/0804.4533v1

Mathematics

Metric Geometry

9 pages

Scientific paper

Suppose $G$ is a countable, not necessarily finitely generated, group. We
show $G$ admits a proper, left-invariant metric $d_G$ such that the
Assouad-Nagata dimension of $(G,d_G)$ is infinite, provided the center of $G$
is not locally finite. As a corollary we solve two problems of A.Dranishnikov.

Affiliated with

Also associated with

No associations

Rating

Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics 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 Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-209369