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    STUDIA MATHEMATICA - Issue no. 2 / 2007  
         
  Article:   RESTRICTION TO SUBGROUPS AND SEPARABILITY.

Authors:  ANDREI MARCUS.
 
       
         
  Abstract:  

Let G be a group, R =ΘgєG Rg a strongly G-graded ring, and let H be a subgroup of G. In this note we prove that the functors (IndGH,ResHG) form a Frobenius pair if and only if [G;H<= oo, and that ResHG: RH-Mod → R-Mod is a separable functor if and only if [G;H] <= oo and the trace map TrGH : Z(R1)H → Z(R1)G is surjective.

 
         
     
         
         
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