Timeline for Does $\pi_1(Spec(\mathbb{Z}[1/p]))$ depend on p?
Current License: CC BY-SA 2.5
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| Nov 21, 2018 at 20:13 | comment | added | Joshua Grochow | This shows it depends on p, but at least for the features you mention in your answer, it seems to depend on p in a very uniform way. (Analogous, in my mind, to the classification of finite groups of order $p^7$; obv. the groups depend on $p$, but the classification is "independent" of $p$ for $p \geq 7$.) Of course, Cam's answer and the Boston-Ellenberg paper from the comments undermine even this kind of uniformity. | |
| Nov 29, 2010 at 2:40 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
added 20 characters in body; added 6 characters in body
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| Nov 29, 2010 at 2:18 | comment | added | Joel Dodge | In paragraph 2, I think you mean that the abelianization of $\pi_1$ is the Galois group of the maximal abelian extension of $\mathbb{Q}$. | |
| Nov 29, 2010 at 1:30 | vote | accept | Makhalan Duff | ||
| Nov 29, 2010 at 1:27 | history | answered | Pete L. Clark | CC BY-SA 2.5 |