Weakly unramified representations, finite morphisms, and Knapp-Stein R-groups

We transfer Knapp-Stein R-groups for unitary weakly unramified characters between a p-adic quasi-split group and its non-quasi-split inner forms, and provide the structure of those R-groups for a general connected reductive group over a p-adic field. This work supports previous studies on the behavior of R-groups between inner forms, and extends Keys' classification for unitary unramified cases of simply-connected, almost simple, semi-simple groups.