Noncrossed products over 𝑘_{𝔭}(𝔱)

Brussel, Eric

doi:10.1090/S0002-9947-00-02626-X

Noncrossed products over $k_{\mathfrak {p}}(t)$
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by Eric S. Brussel PDF

Trans. Amer. Math. Soc. 353 (2001), 2115-2129 Request permission

Abstract:

Noncrossed product division algebras are constructed over rational function fields $k(t)$ over number fields $k$ by lifting from arithmetic completions $k(t)_{\mathfrak {p}}$. The existence of noncrossed products over $\mathfrak {p}$-adic rational function fields $k_{\mathfrak {p}}(t)$ is proved as a corollary.

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