# The dualizing module and top-dimensional cohomology group of $\text{GL}_n(\mathcal{O})$

28 May 2020 Putman Andrew Studenmund Daniel

For a number ring $\mathcal{O}$, Borel and Serre proved that $\text{SL}_n(\mathcal{O})$ is a virtual duality group whose dualizing module is the Steinberg module. They also proved that $\text{GL}_n(\mathcal{O})$ is a virtual duality group... (read more)

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# Categories

• NUMBER THEORY
• ALGEBRAIC TOPOLOGY
• GROUP THEORY
• GEOMETRIC TOPOLOGY