Hilbert's ninth problem

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In mathematics, Hilbert's ninth problem was to find the most general law of reciprocity in an algebraic number field. It is one of Hilbert's problems, a list of unsolved problems proposed by David Hilbert in 1900.

The problem was solved by Emil Artin in 1927 for abelian extensions, algebraic number fields (Artin reciprocity theorem), but the non-abelian case remains open.

[edit] See also

• Non-abelian class field theory

[edit] External links

• English translation of Hilbert's original address

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