All discrete RP groups with non-$π$-loxodromic generators

Details All discrete RP groups with non-$π$-loxodromic generators All discrete RP groups with non-$π$-loxodromic generators

2003-01-29

arxiv.org/abs/math/0301346v4

Int. J. Algebra Comput., 15 (2005), no. 3, 577-618

Mathematics

Group Theory

43 pages, 26 figures; minor changes; Table 2 is corrected

Scientific paper

In this paper we give necessary and sufficient conditions for discreteness of a group generated by a hyperbolic element and an elliptic one of odd order. This completes the classification of discrete groups with non-$\pi$-loxodromic generators in the class of two-generator groups with real parameters. The criterion is given also as a list of all parameters that correspond to discrete groups. An interesting corollary of the result is that the group of the minimal known volume hyperbolic orbifold has real parameters.

Affiliated with

Also associated with

No associations

Rating

All discrete RP groups with non-$π$-loxodromic generators 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 All discrete RP groups with non-$π$-loxodromic generators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and All discrete RP groups with non-$π$-loxodromic generators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-679566