On (2,3,t)-generations for the Conway group Co1.

It is well known that all sporadic simple groups are (2,3,t)-generated, with the exception of M11, M22, M23 and McL. A group G is said to be (2,3,t)-generated if it can be generated by an involution x and an element y of order 3 such that o(xy) = t. In the present article, we investigate all (2,3,t)-generations for the Conway's first sporadic simple group Co1, where t is any odd divisor of |Co1|. Computations are carried out with the aid of computer algebra system GAP-Groups, Algorithms and Programming. [ABSTRACT FROM AUTHOR]