Relative property A and relative amenability for countable groups

Details Relative property A and relative amenability for countable groups Relative property A and relative amenability for countable groups

2011-09-13

arxiv.org/abs/1109.2821v3

Mathematics

Group Theory

Updated to include a strengthening of the relative amenability characterization

Scientific paper

We define a relative property A for a countable group with respect to a finite family of subgroups. Many characterizations for relative property A are given. In particular a relative bounded cohomological characterization shows that if a group has property A relative to a family of subgroups, each of which has property A, then the group has property A. This result leads to new classes of groups that have property A. In particular, groups are of property A if they act cocompactly on locally finite property A spaces of bounded geometry with at least one stabilizer of property A. Specializing the definition of relative property A, an analogue definition of relative amenability for discrete groups are introduced and similar results are obtained.

Affiliated with

Also associated with

No associations

Rating

Relative property A and relative amenability for countable groups 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 Relative property A and relative amenability for countable groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative property A and relative amenability for countable groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334176