Date | Apr 02, 2015 |
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Speaker | 김광섭 |
Dept. | 고등과학원 |
Room | 129-104 |
Time | 11:00-12:30 |
We will prove that for any finite solvable group G, there exists a cyclic extension K/Q and a Galois extension M/Q such that the Galois group Gal(M/K) is isomorphic to G and M/K is unramified. We will apply the theory of embedding problem of Galois extensions to this problem and gives a recursive procedure to construct such extensions.