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778 results
This lecture is part of an online graduate course on Galois theory. We use the theory of splitting fields to classify finite fields: there ...
20,635 views
3 years ago
This lecture is part of an online course on Galois theory. We review some basic results about field extensions and algebraic ...
36,379 views
This lecture is part of an online course on Galois theory. We define the splitting field of a polynomial p over a field K (a field that is ...
24,266 views
Kleines Extra ab 21:11 Nichtoffensichtliche Git-Optionen, mit Anwendung für Git-Archäologie Beispiel: git log -i -G weird_thing .
66 views
6 years ago
We give some examples, such as the absolute Galois group of a finite field, and the Galois group of the cylotomic extension of the ...
3,825 views
This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois ...
125,004 views
This lecture is part of an online graduate course on Galois theory. We give several examples of Galois extensions, and work out ...
10,240 views
This lecture is part of an online graduate course on Galois theory. We define the algebraic closure of a field as a sort of splitting ...
16,863 views
This lecture is part of an online graduate course on Galois theory. We define Galois extensions in 5 different ways, and show that ...
13,352 views
Emmanuel Kowalski - Trace functions over finite fields.
3,410 views
9 years ago
This lecture is part of an online graduate course on Galois theory. We define the norm and trace of a finite extension of fields.
5,031 views
This lecture is part of an online graduate course on Galois theory. As an application of Galois theory, we prove Gauss's theorem ...
6,670 views
This lecture is part of an online graduate course on Galois theory. We show that the Frobenius automorphism of a finite field an ...
5,838 views
Hopf-Galois Extensions and Applications Abstract: Hopf-Galois theory is a generalization of the classical Galois theory.
283 views
1 year ago
Paper by Sonia Belaïd and Fabrice Benhamouda and Alain Passelègue and Emmanuel Prouff and Adrian Thillard and Damien ...
318 views
This lecture is part of an online graduate course on Galois theory. We describe transcendental extension of fields and ...
3,826 views
In this video, we prove that the order of a finite field is necessarily q=p^n, from some prime p. We prove that all finite fields are ...
207 views
2 years ago
This lecture is part of an online graduate course on Galois theory. We introduce cyclotomic polynomials, and use Frobenius ...
8,961 views
This lecture is part of an online graduate course on Galois theory. We discuss Abel's theorem, that says a general quintic equation ...
9,438 views
VaNTAGe Seminar, December 19, 2023 License: CC-BY-NC-SA.
573 views
5 months ago