Transactions of the American Mathematical Society

Author(s): Eric S. Brussel
Journal: Trans. Amer. Math. Soc. 353 (2001), 2115-2129.
MSC (2000): Primary 16K20; Secondary 11R37
Posted: November 21, 2000
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Abstract: Noncrossed product division algebras are constructed over rational function fields

over number fields

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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