Geometric dimension of groups for the family of virtually cyclic subgroups

Details Geometric dimension of groups for the family of virtually cyclic subgroups Geometric dimension of groups for the family of virtually cyclic subgroups

2012-04-16

arxiv.org/abs/1204.3482v1

Mathematics

Group Theory

28 pages

Scientific paper

By studying commensurators of virtually cyclic groups, we prove that every elementary amenable group of finite Hirsch length h and cardinality aleph-n admits a finite dimensional classifying space with virtually cyclic stabilizers of dimension n+h+2. We also provide a criterion for groups that fit into an extension with torsion-free quotient to admit a finite dimensional classifying space with virtually cyclic stabilizers.

Affiliated with

Also associated with

No associations

Rating

Geometric dimension of groups for the family of virtually cyclic subgroups 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 Geometric dimension of groups for the family of virtually cyclic subgroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric dimension of groups for the family of virtually cyclic subgroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6604