6533b834fe1ef96bd129d4f7
RESEARCH PRODUCT
Eine Bemerkung zum Normenresthomomorphismus $h : K_{\ast} F/2 \longrightarrow H^{\ast} (F, \mathbb{Z}/2)$
A. Pfistersubject
Discrete mathematicsPure mathematicsGeneral MathematicsNorm (mathematics)Mathematical proofMathematicsdescription
An elementary Galois theoretic proof is given for the fact: An element $b \in \dot{F}$ is a norm from the extension $F (\sqrt{a})$ iff $(a) \cup (b) = 0$ in $H^{2} (F, \mathbb{Z}/2)$. From this it follows easily that h exists. Comments about other proofs and applications to quadratic forms conclude the paper.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-09-01 | Archiv der Mathematik |