The 2-Ideal Class Groups of ℚ(ζl)
For prime l we study the structure of the 2-part of the ideal class group Cl of ℚ(ζ l ). We prove that Cl ⊗ ℤ2) is a cyclic Galois module for all l < 10000 with one exception and compute the explicit structure in several cases.
Saved in:
| Published in | Nagoya mathematical journal Vol. 162; pp. 1 - 18 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
01.06.2001
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Summary: | For prime l we study the structure of the 2-part of the ideal class group Cl of ℚ(ζ
l
). We prove that Cl ⊗ ℤ2) is a cyclic Galois module for all l < 10000 with one exception and compute the explicit structure in several cases. |
|---|---|
| ISSN: | 0027-7630 2152-6842 |
| DOI: | 10.1017/S0027763000007777 |