1/05/2009 08:24:00 PM
Comment on 142 Galois cohomology of algebraic number fields; ...
Any reprint should note the error: Haberland implicitly assumes that for any finite set of primes S of a number field K and prime number p, there exist extensions of K unramified outside S divisible by arbitrarily high powers of p. This is not known (and may not even be true).
J.S. Milne
Posted by J.S. Milne at 1/05/2009 08:24:00 PM
Any reprint should note the error: Haberland implicitly assumes that for any finite set of primes S of a number field K and prime number p, there exist extensions of K unramified outside S divisible by arbitrarily high powers of p. This is not known (and may not even be true).
J.S. Milne
Posted by J.S. Milne at 1/05/2009 08:24:00 PM