Abstract
In this paper we show a $2$-dimensional subgroup in $\mathit{PU}(2,1)$ which contains elliptics is discrete if and only if all its subgroups generated by two elliptics are discrete. This generalize the well-known discreteness criterion first established by T. Jørgensen.
Citation
Ainong Fang. Shihai Yang. "A discrete criterion in $\mathit{PU}(2,1)$ by use of elliptic elements." Proc. Japan Acad. Ser. A Math. Sci. 82 (3) 46 - 48, March 2006. https://doi.org/10.3792/pjaa.82.46
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