Representations of the Double Burnside Algebra and Cohomology of the   Extraspecial p-Group
  Let E be the extraspecial p-group of order p^3 and exponent p where p is an odd prime. We determine the mod p cohomology of summands in the stable splitting of p-completed classifying space BE modulo nilpotence. 
Akihiko Hida, Nobuaki Yagita
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