Higher Dimensional Thompson Groups

Details Higher Dimensional Thompson Groups Higher Dimensional Thompson Groups

2004-06-02

arxiv.org/abs/math/0406046v1

Mathematics

Group Theory

27 pages To appear in Geometriae Dedicata

Scientific paper

We construct a "higher dimensional" version 2V of Thompson's group V. Like V it is an infinite, finitely presented, simple subgroup of the homeomorphism group of the Cantor set, but we show that it is not isomorphic to V by showing that the actions on the Cantor set are not topologically conjugate: 2V has an element with "chaotic" action, while V cannot have such an element. A theorem of Rubin is then applied which shows that for these two groups, isomorphism would imply topological conjugacy.

Affiliated with

Also associated with

No associations

Rating

Higher Dimensional Thompson 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 Higher Dimensional Thompson Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Dimensional Thompson Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348676