A generalized Brauer construction and linear source modules Robert Boltje and Burkhard K\"ulshammer. Trans. Amer. Math. Soc. 352 (2000), 3411-3428. Abstract: For a complete discrete valuation ring $\mathcal O$ with residue field $F$, a subgroup $H$ of a finite group $G$ and a homomorphism $\phi: H \rightarrow {\mathcal O}^\times$, we define a functor $V \mapsto \bar\bar V(H,\phi)$ from the category of ${\mathcal O}G$-modules to the category of $FN_G(H,\phi)$-modules and investigate its behaviour with respect to linear source modules.