Nilpotent groups without exactly polynomial Dehn function

Details Nilpotent groups without exactly polynomial Dehn function Nilpotent groups without exactly polynomial Dehn function

2010-04-16

arxiv.org/abs/1004.2907v1

Mathematics

Group Theory

Scientific paper

We prove super-quadratic lower bounds for the growth of the filling area function of a certain class of Carnot groups. This class contains groups for which it is known that their Dehn function grows no faster than $n^2\log n$. We therefore obtain the existence of (finitely generated) nilpotent groups whose Dehn functions do not have exactly polynomial growth and we thus answer a well-known question about the possible growth rate of Dehn functions of nilpotent groups.

Affiliated with

Also associated with

No associations

Rating

Nilpotent groups without exactly polynomial Dehn function 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 Nilpotent groups without exactly polynomial Dehn function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nilpotent groups without exactly polynomial Dehn function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624538