On the structure of the Iwasawa module for Z2-extensions of certain real biquadratic fields
For an infinite family of real biquadratic fields k we give the structure of the Iwasawa module X = X ( k ∞ ) of the Z 2 -extension of k . For these fields, we obtain that λ = μ = 0 and ν = 2 . where λ , μ and ν are the Iwasawa invariants of the cyclotomic Z 2 -extension of k
Gespeichert in:
| Veröffentlicht in: | Acta mathematica Hungarica 2024, Vol.174 (1), p.49-61 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | For an infinite family of real biquadratic fields
k
we give the structure of the Iwasawa module
X
=
X
(
k
∞
)
of the
Z
2
-extension of
k
. For these fields, we obtain that
λ
=
μ
=
0
and
ν
=
2
. where
λ
,
μ
and
ν
are the Iwasawa invariants of the cyclotomic
Z
2
-extension of
k |
|---|---|
| ISSN: | 0236-5294 1588-2632 |
| DOI: | 10.1007/s10474-024-01459-2 |