(p, q, r)-Generations andnX-Complementary Generations of the Sporadic GroupsHSandMcL Original Research Article

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