Rank gradient, cost of groups and the rank versus Heegaard genus problem

Details Rank gradient, cost of groups and the rank versus Heegaard genus problem Rank gradient, cost of groups and the rank versus Heegaard genus problem

2007-01-12

arxiv.org/abs/math/0701361v3

Mathematics

Group Theory

Scientific paper

We study the growth of the rank of subgroups of finite index in residually
finite groups, by relating it to the notion of cost.
As a by-product, we show that the `Rank vs. Heegaard genus' conjecture on
hyperbolic 3-manifolds is incompatible with the `Fixed Price problem' in
topological dynamics.

Affiliated with

Also associated with

No associations

Rating

Rank gradient, cost of groups and the rank versus Heegaard genus problem 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 Rank gradient, cost of groups and the rank versus Heegaard genus problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rank gradient, cost of groups and the rank versus Heegaard genus problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-503162