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Finite fields (Galois fields) #2007

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Alizter opened this issue Jul 1, 2024 · 0 comments
Open

Finite fields (Galois fields) #2007

Alizter opened this issue Jul 1, 2024 · 0 comments
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algebra

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@Alizter
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Alizter commented Jul 1, 2024 •
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We should define finite fields as they form useful examples of rings.

We have cyclic groups of order n so it should be enough to take a prime and define the usual multiplication.

We don't yet have material on prime numbers so I'll create an issue for that too.

As for prime powers, we will probably need things like splitting fields which is a bit non-trivial for the moment.
@Alizter Alizter added the algebra label Jul 2, 2024
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