ON THE BRAUER INDECOMPOSABILITY OF SCOTT MODULES
RADHA KESSAR, SHIGEO KOSHITANI, MARKUS LINCKELMANN
Abstract. Let k be an algebraically closed field of prime characteristic p, and 
let P be a p-subgroup of a finite group G. We give sufficient conditions for 
the kG-Scott module Sc(G, P ) with vertex P to remain indcomposable under 
the Brauer construction with respect to any subgroup of P. This generalizes 
similar results for the case where P is abelian. The background motivation 
for this note is the fact that the Brauer indecomposability of a p-permutation 
bimodule is a key step towards showing that the module under consideration 
induces a stable equivalence of Morita type, which then may possibly be lifted 
to a derived equivalence.