Abstract
A group G is said to be (l, m, n)-generated if it is a quotient of the triangle group T (l, m, n) = < x, y, z vertical bar x(1) = y(m) = z(n) = xyz = 1 >. Moori posed in 1993 the question of finding all the triples (l, m, n) such that non-abelian finite simple groups are (l, m, n)generated. We partially answer this question for the Fischer sporadic simple group Fi(23). In particular, we investigate all (2, q, r)-generations for the Fischer sporadic simple group Fi(23), where q and r are distinct prime divisors of vertical bar Fi(23)vertical bar.