Timeline for Capitulation in cyclotomic extensions
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Nov 16, 2015 at 14:14 | history | suggested | Panurge | CC BY-SA 3.0 |
corrected link
|
| Nov 16, 2015 at 14:05 | review | Suggested edits | |||
| S Nov 16, 2015 at 14:14 | |||||
| Sep 30, 2010 at 14:22 | comment | added | Franz Lemmermeyer | Slightly more is true (as I should have known): the whole minus part of the class group cannot capitulate. This leaves us with the question which eigenspaces of the plus class group may or may not capitulate. Since this is entirely a problem involving the structure of the unit group of the real subfield, I guess it is not wise to expect an answer one way or another. | |
| Sep 30, 2010 at 14:20 | vote | accept | Franz Lemmermeyer | ||
| Sep 30, 2010 at 13:10 | comment | added | Mahesh Kakde | But I guess the main conjecture of Iwasawa theory does not say anything about this because we can ignore finite submodules. The advances in Iwasawa theory have only been on formulating main conjectures in more general situations and not very much on getting finer information about the Iwasawa modules (Kurihara's work on computing all Fitting ideals in some situations is an exception to this that I know but not enough for these kinds of question I think). Does anyone if ETNC says anything for such conjectures? | |
| Sep 30, 2010 at 11:28 | history | answered | Chris Wuthrich | CC BY-SA 2.5 |