Abstract
A group G is said to be (2, 3)-generated if it can be generated by an involution x and an element y of order three. For G a sporadic simple group, it was proved by the third author Woldar (1989) [26] that G is (2, 3)-generated if and only if G is not an element of {M-11 M-22, M-23, McL}. In this paper, we investigate all possible (2, 3)-generations of Fischer's largest sporadic simple group Fi(2)(4)' under the assumption that the product xy has prime order. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.