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Bousfield Equivalence of Stable Module Category for Finite Group

HUANG Wenlin;School of Information,Renmin University of China;  
The author considered the Bousfield equivalence relationship of the stable module category for a finite group,and proved that,if H was a strongly p-embedded subgroup of G,then two finitely generated indecomposable kG-modules(kH-modules)were Bousfield equivalent if and only if their Green correspondents were Bousfield equivalent,in addition,Green correspondence induced a one-toone correspondence between Bousfield equivalence classes of Stmod(kG)and those of Stmod(kH).
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