Amenability and Ramsey Theory

Details Amenability and Ramsey Theory Amenability and Ramsey Theory

2011-06-16

arxiv.org/abs/1106.3127v4

Mathematics

Group Theory

18 pages. Section 6 was expanded to contain a generalization of the main results to automorphism groups of Fraisse structures.

Scientific paper

The purpose of this article is to connect the notion of the amenability of a discrete group with a new form of structural Ramsey theory. The Ramsey theoretic reformulation of amenability constitutes a considerable weakening of the Folner criterion. As a by-product, it will be shown that in any non amenable group G, there is a subset E of G such that no finitely additive probability measure on G measures all translates of E equally.

Affiliated with

Also associated with

No associations

Rating

Amenability and Ramsey Theory 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 Amenability and Ramsey Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Amenability and Ramsey Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-189351