Decompositions of some twisted Foulkes characters
  We decompose the twisted Foulkes characters $\phi^{(2^n)}_\nu$, or equivalently the plethysm $s_\nu \circ s_{(2)}$, in the cases where $\nu$ has either two rows or two columns, or is a hook partition. 
Melanie de Boeck, Rowena Paget
math.RT