A two-dimensional slice through the parameter space of two-generator Kleinian groups

Details A two-dimensional slice through the parameter space of two-generator Kleinian groups A two-dimensional slice through the parameter space of two-generator Kleinian groups

2005-12-19

arxiv.org/abs/math/0512441v1

Mathematics

Group Theory

21 pages, 10 figures

Scientific paper

We describe all real points of the parameter space of two-generator Kleinian groups with a parabolic generator, that is, we describe a certain two-dimensional slice through this space. In order to do this we gather together known discreteness criteria for two-generator groups and present them in the form of conditions on parameters. We complete the description by giving discreteness criteria for groups generated by a parabolic and a $\pi$-loxodromic elements whose commutator has real trace and present all orbifolds uniformized by such groups.

Affiliated with

Also associated with

No associations

Rating

A two-dimensional slice through the parameter space of two-generator Kleinian 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 A two-dimensional slice through the parameter space of two-generator Kleinian groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A two-dimensional slice through the parameter space of two-generator Kleinian groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281527