Introduce the Finite field 1 and splitting field

Introduce the Finite field 1 and splitting field

0:00 start
3:18 finite multiplicative group of the field must be the cyclic
8:00 splitting field
12:00 every finite field must be a prime power
13:00 every finite field must be splitting field about x^p^m=x
14:00 every finite field of given order must be isomorphic to each other

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Real analysis:
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https://www.youtube.com/playlist?list=PLg9w7tItBlZuI7n7notRRA2jol69e9mc9

Ring theory lecture
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group theory lecture
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Field theory in abstract algebra
https://www.youtube.com/playlist?list=PLg9w7tItBlZtA6XhMIgIPkgj_SDKChbN-