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The purpose of this paper is to consider the question of the number of abstractly distinct ways in which it is possible for two operators of periods two and three to generate the simple group LF(2, 2). The general procedure to be followed in studying such a problem has been outlined by Professor Brahanaf and has already been applied to LF(2> 2) by the author.J Those previous results suggested the present generalization. Since the 2 2 ^ l substitutions of period two in LF(2y 2 ) are all conjugate,! it is sufficient in seeking possible generating operators to consider only one of them, say

On generating the simple group 𝐿𝐹(2,2^{𝑁}) by two operators of periods two and three