The Maschke property for the Sylow p-subgroups of the symmetric group   S_p^n
  The Sylow p-subgroups of the symmetric group S_p^n satisfy the appropriate generalization of Maschke's Theorem to the case of a p'-group acting on a (not necessarily abelian) p-group. Moreover, some known results about the Sylow p-subgroups of S_p^n are stated in a form that is true for all primes p. 
David J. Green, L\'aszl\'o H\'ethelyi and Erzs\'ebet Horv\'ath
math.GR