makeOrbitMackeyFunctor(p,C)Given a module $M$ with $C_p$-action specified by an automorphism $\text{c}\colon M\to M$, there is a naturally associated orbit Mackey functor $\text{O}(M)$. The underlying module is the module $M$ with conjugation given by $\text{c}$. The fixed module is the quotient module $M_{C_p}$ of the action, represented as the cokernel of $1-\text{c}$. The restriction is the map $$\text{res}_e^{C_p} \colon M_{C_p} \to M$$ given by $1+\text{c}+\text{c}^2+\cdots+\text{c}^{p-1}$. The transfer is the map $$\text{tr}_e^{C_p} \colon M\to M_{C_p}$$ induced by the projection to the quotient.
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The object makeOrbitMackeyFunctor is a method function.
The source of this document is in CpMackeyFunctors/Documentation/ConstructorsDoc.m2:181:0.