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

Pekka Tukia; Xiantao Wang

doi:10.7146/math.scand.a-14386

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

Authors

Pekka Tukia
Xiantao Wang

DOI:

https://doi.org/10.7146/math.scand.a-14386

Abstract

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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Published

2002-12-01

How to Cite

Tukia, P., & Wang, X. (2002). Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements. MATHEMATICA SCANDINAVICA, 91(2), 214–220. https://doi.org/10.7146/math.scand.a-14386