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.

Full Text:

PDF


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

Refbacks

  • There are currently no refbacks.
This website uses cookies to allow us to see how the site is used. The cookies cannot identify you or any content at your own computer.
OK


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

Hosted by the Royal Danish Library