Twisted Burnside-Frobenius theory for discrete groups

Details Twisted Burnside-Frobenius theory for discrete groups Twisted Burnside-Frobenius theory for discrete groups

2006-06-08

arxiv.org/abs/math/0606179v2

Mathematics

Group Theory

17 pages, no figures, v2: some small improvements using referee's suggestions

Scientific paper

For a wide class of groups including polycyclic and finitely generated polynomial growth groups it is proved that the Reidemeister number of an automorphism f is equal to the number of finite-dimensional fixed points of the induced map f^ on the unitary dual, if one of these numbers is finite. This theorem is a natural generalization of the classical Burnside-Frobenius theorem to infinite groups. This theorem also has important consequences in topological dynamics and in some sense is a reply to a remark of J.-P. Serre. The main technical results proved in the paper yield a tool for a further progress.

Affiliated with

Also associated with

No associations

Rating

Twisted Burnside-Frobenius theory for discrete 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 Twisted Burnside-Frobenius theory for discrete groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Burnside-Frobenius theory for discrete groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507369