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Let $G$ is a connected reductive group over a number field $F$. Let $S$ be a set of places containing the archimedean places for which $G$ has a model over the ring of $S$-integers in $F$. Is it true that for $v \notin S$, $G \times_F F_v$ is quasisplit and is split over an unramified extension?

Let $G$ is a connected reductive group over a number field $F$. Let $S$ be a set of places for which $G$ has a model over the ring of $S$-integers in $F$. Is it true that for $v \notin S$, $G \times_F F_v$ is quasisplit and is split over an unramified extension?

Let $G$ is a connected reductive group over a number field $F$. Let $S$ be a set of places containing the archimedean places for which $G$ has a model over the ring of $S$-integers in $F$. Is it true that for $v \notin S$, $G \times_F F_v$ is quasisplit and is split over an unramified extension?

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Let $G$ is a connected reductive group over a number field $F$. Suppose there is a setLet $S$ be a set of places for which $G$ has a model over the ring of $S$-integers in $F$. Is it true that for $v \notin S$, $G \times_F F_v$ is quasisplit and is split over an unramified extension?

Let $G$ is a connected reductive group over a number field $F$. Suppose there is a set $S$ of places for which $G$ has a model over the ring of $S$-integers in $F$. Is it true that for $v \notin S$, $G \times_F F_v$ is quasisplit and is split over an unramified extension?

Let $G$ is a connected reductive group over a number field $F$. Let $S$ be a set of places for which $G$ has a model over the ring of $S$-integers in $F$. Is it true that for $v \notin S$, $G \times_F F_v$ is quasisplit and is split over an unramified extension?

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Existence of a model over S-integers

Let $G$ is a connected reductive group over a number field $F$. Suppose there is a set $S$ of places for which $G$ has a model over the ring of $S$-integers in $F$. Is it true that for $v \notin S$, $G \times_F F_v$ is quasisplit and is split over an unramified extension?