Abstract
Given a finite group X and a normal subgroup G of X, we show that any Mackey functor M for X induces another Mackey functor M ˜ for X associated to G. We then consider the question, whether there exists a map M ˜ → M extending elements from M ( G ) to M ( X ) and compatible with the restriction maps. In the case that the order of G and the index of G in X are relatively prime, we give a sufficient condition for the existence of such a map, using canonical induction formulae.
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