Timeline for Is it possible to describe the image of the $p$-adic logarithm on $1+\mathfrak{m}$, where $\mathfrak{m}$ is the maximal ideal of a $p$-adic field?
Current License: CC BY-SA 3.0
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Nov 22, 2021 at 18:56 | comment | added | jjcale | Let $p^k (p^f-1)$ be the order of the torsion subgroup of $R^\times$ and $r > e/(p-1)$ . Then $\log_p(1+\mathfrak{m})$ is the disjoint union of $p^{f(r-1)-k}$ translations of $\mathfrak{m}^r$ . | |
Aug 11, 2017 at 4:23 | answer | added | Lubin | timeline score: 5 | |
Aug 10, 2017 at 8:39 | answer | added | WhatsUp | timeline score: 4 | |
Aug 10, 2017 at 6:40 | history | asked | stupid_question_bot | CC BY-SA 3.0 |