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In Galois theory, the basic idea is to start with a
polynomial and obtain a group (the Galois group). The group then
gives information about the (roots of the) polynomial. Inverse
Galois theory, on the other hand, starts with a group and tries to
find polynomials with that group as Galois group. Better yet, it
finds all polynomials with that group as Galois group, or at least
"sufficiently many". I will introduce the concept of a generic
polynomial, which is a way of finding "sufficiently many" polynomials
in this way, and give some examples and methods.
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