Noncrossed products over $k_{\mathfrak {p}}(t)$

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.

Locations

• Transactions of the American Mathematical Society - View - PDF