Axial distances in discrete Möbius groups.
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- Record sourced from PubMed, PMID 11607284.
- Also identified by PMC identifier 48583.
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Abstract
We describe here new lower bounds for the trace of the commutator of a discrete two-generator group of Möbius transformations. These results lead to sharp estimates for the distance between the axes of elliptics in a discrete group and hence to new bounds for the volume of hyperbolic manifolds and orbifolds that will be discussed elsewhere.