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Keywords:
non-injective homomorphism; induction and restriction; Frobenius reciprocity; Mackey's formula
non-injective homomorphism; induction and restriction; Frobenius reciprocity; Mackey's formula
Summary:
We extend the inductions and restrictions of modules over finite groups to non-injective group homomorphisms, establishing transitivity, Frobenius reciprocity, Mackey's formula, etc.
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