Timeline for Class groups in dihedral extensions - some sort of Spiegelungssatz?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 23, 2017 at 10:44 | comment | added | Franz Lemmermeyer | The ambiguous class number formula is a purely arithmetic result, and it does not even admit an analytic proof. | |
| Aug 23, 2017 at 10:35 | comment | added | Alex B. | Thank you! Given that this proof also uses a class number formula and the passage via the units, maybe my hunch that this should be avoidable is simply false. This proof certainly has the merit that it avoids Lee's classification, although I cannot see straightaway whether one can go all the way to the full strength of (1) without it, and also whether one can avoid saying anything about the Galois module structure of the units in the real case. | |
| Aug 22, 2017 at 17:44 | history | answered | Franz Lemmermeyer | CC BY-SA 3.0 |