(p,q,r)-Generations of the Smallest Conway GroupCo3 Original Research Article

An (l,m,n)-generated groupGis a quotient group of the triangle groupT(l,m,n) = left angle bracketx,y,zmidxl = ym = zn = xyz = 1right-pointing angle bracket. In this paper the authors continue the study on the (p,q,r)-generations of the sporadic simple groups, where p, q, r are distinct primes. The problem is resolved for the groupsCo3.