The Stacks project

Definition 64.15.2. Let $f : P\to P$ be an endomorphism of a finite projective $\Lambda [G]$-module $P$. We define

\[ \text{Tr}_{\Lambda }^ G(f; P) := \varepsilon \left(\text{Tr}_{\Lambda [G]}(f; P)\right) \]

to be the $G$-trace of $f$ on $P$.

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View Definition 64.15.2 as pdf