Matthias Kuenzer and Gabriele Nebe

The elementary divisors of the Gram matrices of Specht modules S^lambda over 
the symmetric group are determined for two-row partitions and for two-column 
partitions lambda. More precisely, the subquotients of the Jantzen filtration 
are calculated using Schaper's formula. Moreover, considering a general 
partition lambda of n at a prime p > n - lambda_1, the only possible non 
trivial composition factor of S_p^lambda is induced by the morphism of 
Carter and Payne, as shown by means of Kleshchev's modular branching rule. 
This enables the Jantzen filtration to be calculated in this case as well.