Timeline for The $\ell$- part of the class groups of the $p$-cyclotomic fields
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 2, 2017 at 16:10 | answer | added | Tauno Metsankyla | timeline score: 3 | |
| May 23, 2017 at 8:21 | vote | accept | Asvin | ||
| May 23, 2017 at 8:20 | comment | added | David Loeffler | Incidentally, just as a footnote to @Filippo's great answer: there is some very nice recent work of Jack Lamplugh which proves analogous statements to Washington's theorem with the cyclotomic $\mathbb{Z}_p$-extension replaced by $\mathbb{Z}_p^2$ extensions of imaginary quadratic fields. | |
| May 20, 2017 at 17:02 | answer | added | Filippo Alberto Edoardo | timeline score: 6 | |
| May 20, 2017 at 15:39 | comment | added | KConrad | Washington has a remark about this in his book. I don't have the book with me so I can't point to a definite page, but he proved a theorem about this: for $\ell \not= p$, the multiplicity of $\ell$ in the groups $A_n$ is bounded. See "The non-$p$-part of the class number in a cyclotomic ${\mathbf Z}_p$ -extension," Invent. Math., 49 (1978), 87–97. See this article at gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002094622. | |
| May 20, 2017 at 14:11 | history | asked | Asvin | CC BY-SA 3.0 |