Abstract
The decomposition numbers of the exceptional Weyl groups for the prime number p = 3 are obtained; other relevant prime numbers will be considered in forthcoming publications. General references on Weyl groups, the characters of the individual groups and on the modular representation theory required are given. The technique used for calculating the decomposition matrices are those described by James and Kerber together with the results of Brauer. Notation is introduced and then each individual group is considered and the results tabulated. For more details one may consult Khosraviyani, Ph.D. thesis, University College of Wales, May 1981.
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