On Crossed Homomorphisms and the Construction of a New Class of Locally Compact Dickson Nearfields
The aim of this paper is the construction of a new class of locally compact nearfields. They are all derived from a local field F by means of certain mappings F ∗ → Δ ≤ Aut F , called couplings on F . Couplings on any field F can be described in terms of crossed homomorphisms Δ → F ∗ / U , where U ≤...
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| Veröffentlicht in: | Resultate der Mathematik 2018-12, Vol.73 (4), Article 153 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The aim of this paper is the construction of a new class of locally compact nearfields. They are all derived from a local field
F
by means of certain mappings
F
∗
→
Δ
≤
Aut
F
, called couplings on
F
. Couplings on any field
F
can be described in terms of crossed homomorphisms
Δ
→
F
∗
/
U
, where
U
≤
F
∗
is invariant under
Δ
and
[
F
∗
:
U
]
=
|
Δ
|
. |
|---|---|
| ISSN: | 1422-6383 1420-9012 |
| DOI: | 10.1007/s00025-018-0915-5 |