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Discreteness criteria of Möbius groups of high dimensions and convergence theorems of Kleinian groups. (English) Zbl 0980.20040
Generalizing the result of T. Jørgensen the authors give discreteness criteria for Möbius groups of high dimensions, especially criteria which allow to get discreteness from the discreteness of the two-generator subgroups.

##### MSC:
 20H10 Fuchsian groups and their generalizations (group theory) 20H20 Other matrix groups over fields 30F40 Kleinian groups 20F05 Generators, relations, and presentations of groups
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##### References:
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