Example 78.7.5. Let B \to S as in Section 78.3. Let n \geq 1. The determinant defines a morphism of group algebraic spaces
\det : \text{GL}_{n, B} \longrightarrow \mathbf{G}_{m, B}
over B. It is the base change of the determinant morphism over S from Groupoids, Example 39.5.5.
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