Decomposition matrices for spin characters of symmetric groups

Source abstract

Synopsis Methods are developed for determining the decomposition matrices for the spin characters of the symmetric groups S n for an odd prime p . Some general results are obtained which are non-trivial modifications of the corresponding results for ordinary characters. The methods are used to determine the decomposition matrices for 3 ≦ n ≦ ll, and p = 3 but with an interesting ambiguity in the case n = 9. The second author will deal separately with the cases p = 5, 7, 11.