A finitely-generated amenable group with very poor compression into Lebesgue spaces

Details A finitely-generated amenable group with very poor compression into Lebesgue spaces A finitely-generated amenable group with very poor compression into Lebesgue spaces

2009-09-10

arxiv.org/abs/0909.2047v2

Mathematics

Metric Geometry

36 pages; [TDA, April 5th 2011:] modified slightly following referee reports

Scientific paper

We construct an example of a finitely-generated amenable group that does not
admit any coarse 1-Lipschitz embedding with positive compression exponent into
L_p for any 1 \leq p < \infty, answering positively a question of Arzhantseva,
Guba and Sapir.

Affiliated with

Also associated with

No associations

Rating

A finitely-generated amenable group with very poor compression into Lebesgue spaces 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 A finitely-generated amenable group with very poor compression into Lebesgue spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A finitely-generated amenable group with very poor compression into Lebesgue spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-427600