Let $B$ be a quaternion algebra over $\Q$. We say that $B$ is ramified at a prime $p$ if $B\otimes_{\Q} \Q_p$ is a division algebra over $\Q_p$; otherwise, we say that $B$ is split at $p$.
The discriminant $\operatorname{disc}(B)$ of $B$ is the product of primes $p$ at which $B$ is ramified.
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- Last edited by John Voight on 2024-02-08 14:56:35
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- 2024-02-08 14:56:35 by John Voight (Reviewed)
- 2024-02-08 14:56:11 by John Voight
- 2024-02-08 14:29:18 by Jacob Swenberg
- 2024-02-08 12:13:41 by Jacob Swenberg