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A finite field is a field with a finite number of elements. For each prime power $q^k$, there is a unique (up to isomorphism) finite field with $q^k$ elements. Up to isomorphism, these are the only finite fields.

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Is there a bijection between elements in algebraic closure of F2 and all bi-infinite periodi...

(And if so, how can I describe the "multiplication" on the sequence?) We consider a bijection, denoted by $f$, from the algebraic closure of $\mathbb{F}_2$, named $\bar{\mathbb{F}_2}$, to the set $S\s …
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