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1,121 results
An introduction to finite fields. For more math, subscribe to my channel: https://www.youtube.com/jeffsuzuki1.
9,867 views
3 years ago
This lecture is part of an online graduate course on Galois theory. We use the theory of splitting fields to classify finite fields: there ...
20,595 views
In this video, we define the notion of a Galois field, that is, the finite field of order q=p^n. We discuss how Galois fields are related ...
1,583 views
2 years ago
This lecture is part of an online course on Galois theory. We review some basic results about field extensions and algebraic ...
36,310 views
More about finite fields. For more math, subscribe to my channel: https://www.youtube.com/jeffsuzuki1.
2,950 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 ...
24,200 views
This lecture is part of an online graduate course on Galois theory. We show that any finite separable extension of fields has a ...
8,667 views
In this video, we prove that the Galois group of any field extension over finite fields is cyclic. This is lecture 33 (part 5/5) of the ...
389 views
Finding finite fields using polynomial rings. For more math, subscribe to my channel: https://www.youtube.com/jeffsuzuki1.
2,084 views
... not exactly the best definition for what it means to be a field extension so here's a small example let's take the smallest finite field ...
18,742 views
10 years ago
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
In this video, we introduce the notion of a separable extension of a field and discuss when this may be a concern to field theory.
205 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 ...
16,831 views
This lecture is part of an online graduate course on Galois theory. We define the discriminant of a finite field extension, ans show ...
3,606 views
This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois ...
124,834 views
We give some examples, such as the absolute Galois group of a finite field, and the Galois group of the cylotomic extension of the ...
3,820 views
This lecture is part of an online graduate course on Galois theory. As an application of Galois theory, we prove Gauss's theorem ...
6,654 views
This lecture is part of an online graduate course on Galois theory. We give several examples of Galois extensions, and work out ...
10,215 views
Emmanuel Kowalski - Trace functions over finite fields.
3,408 views
9 years ago
This lecture is part of an online graduate course on Galois theory. We define separable algebraic extensions, and give some ...
10,040 views