Limit groups and groups acting freely on R^n-trees

Details Limit groups and groups acting freely on R^n-trees Limit groups and groups acting freely on R^n-trees

2003-06-20

arxiv.org/abs/math/0306306v5

Geometry and Toplogy 8 (2004) 1427--1470

Mathematics

Group Theory

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper39.abs.html

Scientific paper

10.2140/gt.2004.8.1427

We give a simple proof of the finite presentation of Sela's limit groups by using free actions on R^n-trees. We first prove that Sela's limit groups do have a free action on an R^n-tree. We then prove that a finitely generated group having a free action on an R^n-tree can be obtained from free abelian groups and surface groups by a finite sequence of free products and amalgamations over cyclic groups. As a corollary, such a group is finitely presented, has a finite classifying space, its abelian subgroups are finitely generated and contains only finitely many conjugacy classes of non-cyclic maximal abelian subgroups.

Affiliated with

Also associated with

No associations

Rating

Limit groups and groups acting freely on R^n-trees 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 Limit groups and groups acting freely on R^n-trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limit groups and groups acting freely on R^n-trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-243813