Timeline for Are all totally ramified $\mathbb{Z}_p$-extensions of local fields come from (relative) Lubin-Tate formal groups?
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| Aug 10, 2018 at 21:16 | comment | added | Dror Speiser | Say, how many formal groups are there, and how many such towers are there? The formal groups will be determined by their logarithm, each of which is a countable number of coefficients, each of which in turn can be approximated by an integer while preserving the field extension tower (I think). As for the number of towers, I've heard the words "wild problem" before. Is it possible that once you allow $\zeta_p\in k$, then there are more than a countable number of towers? Since everything is abelian, maybe it's not possible... | |
| Aug 10, 2018 at 11:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jul 11, 2018 at 10:04 | answer | added | Jz Pan | timeline score: 4 | |
| Jul 11, 2018 at 8:50 | history | edited | Jz Pan | CC BY-SA 4.0 |
rephrase a little bit
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| Jul 5, 2018 at 12:15 | history | edited | Jz Pan | CC BY-SA 4.0 |
consider a special case
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| Jul 4, 2018 at 7:40 | history | asked | Jz Pan | CC BY-SA 4.0 |