Event № 489
Event № 489
Type: Seminar
Name: Algebra Seminar
Title: Construction of unramified extensions with a prescribed solvable Galois group
Speaker: Kwang-Seob
Place:
Amado 719, Technion
Abstract:
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.
SubmittedBy:
Seminar/Colloquium Moderator
EventLink: Event № 489