Growth in infinite groups of infinite subsets

Details Growth in infinite groups of infinite subsets Growth in infinite groups of infinite subsets

2011-06-24

arxiv.org/abs/1106.5014v1

Mathematics

Group Theory

27 pages, no pictures

Scientific paper

Given an infinite group G, we consider the finitely additive measure defined on finite unions of cosets of finite index subgroups. We show that this shares many properties with the size of subsets of a finite group, for instance we can obtain equivalent results on Ruzsa distance and product free sets. In particular if G has infinitely many finite index subgroups then it has subsets S of measure arbitrarily close to 1/2 with the square of S having measure less than 1.

Affiliated with

Also associated with

No associations

Rating

Growth in infinite groups of infinite subsets 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 Growth in infinite groups of infinite subsets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Growth in infinite groups of infinite subsets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394319