Abstract :
The object of this note is to show that the formula for tensor induction of relative syzygies in the Dade group, stated in [S. Bouc, J. Reine Angew. Math. 523 (2000) 113], can be viewed as a special case of a functorial homomorphism from the dual B* of the Burnside group to the subgroup DΩ of the Dade group generated by relative syzygies. It follows that there exists a short exact sequence of functors , where is the functor of rational representations. This may be viewed as an improvement (from to ) of Theorem D of [Invent. Math. 139 (2000) 275].
