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.