Amenability of Universal 2-Grigorchuk group

Details Amenability of Universal 2-Grigorchuk group Amenability of Universal 2-Grigorchuk group

2005-05-26

arxiv.org/abs/math/0505572v3

Mathematics

Group Theory

10 pages

Scientific paper

We consider the universal Grigorchuk 2-group, i.e., the group such that every Grigorchuk 2-group is a quotient. We show that this group has a nice universal representation in the group of all functions f:{0,1,2}^N --> Aut(T_2), where T_2 is a group of automorphism of the binary tree. Finally, we prove that this universal Grigorchuk 2-group is amenable. The proof is an application of the ``Munchhausen trick'' developed by V. Kaimanovich.

Affiliated with

Also associated with

No associations

Rating

Amenability of Universal 2-Grigorchuk group 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 of Universal 2-Grigorchuk group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Amenability of Universal 2-Grigorchuk group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-117710