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edited Jul 23, 2017 at 2:07

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nt.number-theory algebraic-number-theory class-field-theory

Rewrote title to be a question. Added class-field-theory tag.

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edited Jan 13, 2010 at 20:19

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Why do congruence conditions do not suffice to determine which primes split in non-abelian extensions?

nt.number-theory class-field-theory

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asked Jan 13, 2010 at 19:43

user19475

congruence conditions do not suffice

How does one prove that the splitting of primes in a non-abelian extension of number fields is not determined by congruence conditions?

nt.number-theory