Timeline for class groups of unramified cyclic p-extensions of imaginary quadratic fields
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| S Oct 24, 2013 at 14:45 | history | suggested | BIS HD | CC BY-SA 3.0 |
improved formatting
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| Oct 24, 2013 at 14:38 | review | Suggested edits | |||
| S Oct 24, 2013 at 14:45 | |||||
| Sep 16, 2011 at 17:26 | answer | added | JSE | timeline score: 3 | |
| Sep 2, 2011 at 14:21 | comment | added | Tobias Bembom | Thank you very much for your comment. I also read your paper on class field towers of 2010. It was very interesting and helpful. | |
| Aug 19, 2011 at 20:00 | comment | added | Franz Lemmermeyer | If you take a complex quadratic field with large $p$-rank and unramified p-extensions, Golod-Shafarevich-type arguments will tell you that the relative class number tends to have large p-rank not only with high probability, but always. | |
| Aug 19, 2011 at 11:52 | comment | added | Tobias Bembom | Wittmann has shown that his results also hold for cyclic p-extensions of imaginary quadratic fields with trivial p-class group. But I am interested in unramified cyclic p-extensions, which don't exist in that case. | |
| Aug 18, 2011 at 13:46 | comment | added | Franz Lemmermeyer | I would expect similar results to hold for cyclic extensions of number fields with trivial p-class group. Have you tried to generalize Wittmann's results to such fields? If yes, where does the proof break down? | |
| Aug 17, 2011 at 12:00 | history | asked | Tobias Bembom | CC BY-SA 3.0 |