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

Issue

Vol. 91 No. 2 (2002)

Section

Articles

How to Cite

[1]
P. Tukia and X. Wang, “Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements”, Math. Scand., vol. 91, no. 2, pp. 214–220, Dec. 2002, doi: 10.7146/math.scand.a-14386.