Hw. Gollan et Go. Michler, CONSTRUCTION OF A 45,694-DIMENSIONAL SIMPLE MODULE OF LYONS SPORADIC GROUP OVER GF(2), Linear algebra and its applications, 256, 1997, pp. 185-197
It is shown that the e-modular reduction phi of the smallest nontrivia
l, rational, absolutely irreducible character chi of Lyons' sporadic s
imple group Ly is irreducible. Furthermore, an explicit 45,694-dimensi
onal irreducible matrix representation of Ly over the field GF(2) with
two elements is given. The construction has been performed on a paral
lel computer of type IBM SP1 with 10 nodes. It uses the recent present
ation of Ly as a permutation group on 9,606,125 points given by Cooper
man, Finkelstein, Tselman, and York. (C) Elsevier Science Inc., 1997.