Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements

Pekka Tukia, Xiantao Wang


The following result is the main result of the paper. Let $G\subset \boldsymbol{SL}(2,\boldsymbol C)$ be non-elementary. If $G$ contains an elliptic element of order at least 3, then $G$ is discrete if and only if each non-elementary subgroup generated by two elliptic elements of $G$ is discrete.

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DOI: http://dx.doi.org/10.7146/math.scand.a-14386


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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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