Profinite completion of Grigorchuk's group is not finitely presented

Details Profinite completion of Grigorchuk's group is not finitely presented Profinite completion of Grigorchuk's group is not finitely presented

2010-11-17

arxiv.org/abs/1011.3880v2

Mathematics

Group Theory

Scientific paper

In this paper we prove that the profinite completion $\mathcal{\hat G}$ of the Grigorchuk group $\mathcal{G}$ is not finitely presented as a profinite group. We obtain this result by showing that $H^2(\mathcal{\hat G},\field{F}_2)$ is infinite dimensional. Also several results are proven about the finite quotients $\mathcal{G}/ St_{\mathcal{G}}(n)$ including minimal presentations and Schur Multipliers.

Affiliated with

Also associated with

No associations

Rating

Profinite completion of Grigorchuk's group is not finitely presented 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 Profinite completion of Grigorchuk's group is not finitely presented, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Profinite completion of Grigorchuk's group is not finitely presented will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-110746