Mathematics - Florida State University
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Juergen Klueners



Speaker: Juergen Klueners
Title: Constructive Galois Theory
Affiliation: University of Dusseldorf.
Date: Friday, September 14, 2007.
Place and Time: Room 101, Love Building, 3:35-4:30 pm.
Refreshments: Room 204, Love Building, 3:00 pm.

Abstract. In this talk I will give an overview about constructive methods in Galois theory. In the main part of the talk I will describe how to compute the Galois group of an irreducible polynomial. These methods are implemented in the computer algebra system Magma and it is possible to compute Galois groups of polynomials of high degree, say of degree 64 or 128. In a second part I will give some ideas how to construct polynomials with a given Galois group. Those polynomials are collected in a database which is available from my homepage.


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Last modified: Friday September 7th, 2007