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Timeline for Brauer group of rational numbers

Current License: CC BY-SA 4.0

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Aug 28, 2022 at 5:26 comment added Brauer Suzuki Perhaps the following is of interest: arxiv.org/abs/1911.02368
May 30, 2022 at 4:26 review Close votes
Jun 4, 2022 at 3:09
May 30, 2022 at 3:13 history became hot network question
May 29, 2022 at 23:12 vote accept Siavosh Ossareh
May 29, 2022 at 23:03 history edited KConrad CC BY-SA 4.0
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May 29, 2022 at 22:23 comment added Siavosh Ossareh Thanks for the reminder. You are right that was a typo.
May 29, 2022 at 21:45 history edited Siavosh Ossareh CC BY-SA 4.0
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May 29, 2022 at 21:44 history edited Siavosh Ossareh CC BY-SA 4.0
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May 29, 2022 at 20:20 answer added KConrad timeline score: 12
May 29, 2022 at 19:38 comment added John Rognes The Brauer group of $\mathbb{R}$ is $\mathbb{Z}/2$ and the Brauer group of $\mathbb{Q}_p$ is $\mathbb{Q}/\mathbb{Z}$, for each prime $p$, so the `$\mathbb{Z}$' in the question is a typo. The rational quaternion algebra $\mathbb{Q}\{1,i,j,k\}$ maps to the nontrivial element in the Brauer group of $\mathbb{R}$, hence represents a nontrivial class in the Brauer group of $\mathbb{Q}$.
May 29, 2022 at 19:32 comment added GH from MO Unfortunately, there is no royal road to class field theory.
May 29, 2022 at 19:31 history edited GH from MO
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S May 29, 2022 at 19:11 review First questions
May 29, 2022 at 21:32
S May 29, 2022 at 19:11 history asked Siavosh Ossareh CC BY-SA 4.0