Short Conjugators in Solvable Groups

Details Short Conjugators in Solvable Groups Short Conjugators in Solvable Groups

2011-12-12

arxiv.org/abs/1112.2721v1

Mathematics

Group Theory

19 pages, 4 figures

Scientific paper

We give an upper bound on the size of short conjugators in certain solvable groups. Diestel-Leader graphs, which are a horocyclic product of trees, are discussed briefly and used to study the lamplighter groups. The other solvable groups we look at can be recognised in a similar vein, as groups which act on a horocyclic product of well known spaces. These include the Baumslag-Solitar groups BS(1,q) and semidirect products of Z^n with Z^k. Results can also be applied to the conjugacy of parabolic elements in Hilbert modular groups and to elements in 3-manifold groups.

Affiliated with

Also associated with

No associations

Rating

Short Conjugators in Solvable 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 Short Conjugators in Solvable Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Short Conjugators in Solvable Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484917