The homology of certain subgroups of the symmetric group with coefficients 
in Lie(n).

Greg Arone and Marja Kankaanrinta

Abstract: The authors compute the mod p homology of groups of the form
\Sigma_{n_1}\times\cdots\times\Sigma_{n_k} with twisted coefficients in 
the module Lie(n), where n_1+\cdots+n_k=n.