On pro-$p$ analogues of limit groups via extensions of centralizers

Details On pro-$p$ analogues of limit groups via extensions of centralizers On pro-$p$ analogues of limit groups via extensions of centralizers

2011-07-12

arxiv.org/abs/1107.2331v1

Math. Z. 267 (2011), no. 1-2, 109-128

Mathematics

Group Theory

This is a correted version of the paper published in Math. Z. 267 (2011), no. 1-2, 109-128. The difference is Section 4, where

Scientific paper

We begin a study of a pro-$p$ analogue of limit groups via extensions of centralizers and call $\mathcal{L}$ this new class of pro-$p$ groups. We show that the pro-$p$ groups of $\mathcal{L}$ have finite cohomological dimension, type $FP_{\infty}$ and non-positive Euler characteristic. Among the group theoretic properties it is proved that they are free-by-(torsion-free poly -procyclic) and if non-abelian do not have a finitely generated non-trivial normal subgroup of infinite index. Furthermore it is shown that every 2 generated pro-$p$ group in the class $\mathcal{L}$ is either free pro-$p$ or abelian.

Affiliated with

Also associated with

No associations

Rating

On pro-$p$ analogues of limit groups via extensions of centralizers 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 On pro-$p$ analogues of limit groups via extensions of centralizers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On pro-$p$ analogues of limit groups via extensions of centralizers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-565858