@article{Conder_Maclachlan_Martin_O’Brien_2002, title={2-Generator arithmetic Kleinian groups III}, volume={90}, url={https://www.mscand.dk/article/view/14368}, DOI={10.7146/math.scand.a-14368}, abstractNote={This paper forms part of the program to identify all the 2-generator arithmetic Kleinian groups. Here we identify all conjugacy classes of such groups with one generator parabolic and the other generator elliptic. There are exactly $14$ of these and exactly $5$ Bianchi groups in their commensurability class, namely $\mathrm{PSL}(2,{\mathcal O}_d)$ for $d=1,2,3,7$ and $15$. This complements our earlier identification of the $4$ arithmetic Kleinian groups generated by two parabolic elements.}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Conder, M. D. E. and Maclachlan, C. and Martin, G. J. and O’Brien, E. A.}, year={2002}, month={Jun.}, pages={161–179} }