Presentations for 3-Dimensional Special Linear Groups Over Integer Rings

Marston Conder, Edmund Robertson, Peter Williams
1992 Proceedings of the American Mathematical Society  
The following 2-generator 6-relator presentation is obtained for the 3-dimensional special linear group SL(3, Zk) for each odd integer k > 1 : SL(3 ,Zk) = {x, y\x3 = y3 = (xy)6 = {x-xyx~ly-lxy)2 = (xy~x xyxy~x x~x y~x)k = ((xy->xyxy-xx-ly-l)(k-l)/2xy)4 = 1). Alternative presentations for these groups and other groups associated with them are also given.
doi:10.2307/2159559 fatcat:a4phn2eqwrde5nrg7wzpitpl3q