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

  • Pekka Tukia
  • Xiantao Wang

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.
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
Section
Articles