List questions from finite-fields

Published on 07 Jun 2014 - 12:22

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Why is the algebraic closure of a finite field countable?

Published on 07 Jun 2014 - 14:37

80

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The existence of primitive algebraic units modulo 3

Published on 27 Mar 2026 - 2:59

1.1k

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Let $F$ be a field of 8 elements and $A$= {$x\in F$| $x^7$=1 and $x^k$$\neq$1 for all natural number k<1}. Then the number of elements in A is

Published on 08 Jun 2014 - 18:51

353

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Some properties of elements of the finite field GF(q)

Published on 10 Jun 2014 - 14:56

60

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Does the element exist in the Galois Field?

Published on 11 Jun 2014 - 3:13

158

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If $F$ is a field, show the following function is a permutation

Published on 11 Jun 2014 - 14:47

82

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If p is a prime positive integer, find all subfields of GF(p)

Published on 11 Jun 2014 - 18:07

39

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fields and subspaces

Published on 11 Jun 2014 - 19:31

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Minimal polynomial reducible modulo every prime $p$

Published on 12 Jun 2014 - 6:41

511

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Structure of $G$-invariant bilinear forms over (finite?) fields

Published on 25 Mar 2026 - 17:24

455

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Projective special linear group

Published on 13 Jun 2014 - 16:33

146

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An example concerning some fields

Published on 13 Jun 2014 - 23:55

225

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Elements of subfield $F_{8}$ of $F_{2}[x]/(x^{6}+x+1)$

Published on 15 Jun 2014 - 11:32

161

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Elements with order 3 in group $F_{16}/\{0\}$

Published on 15 Jun 2014 - 14:40

List Question

About a field of order $2^{n}$ with $n$ an odd integer and an additional property

Why is the algebraic closure of a finite field countable?

The existence of primitive algebraic units modulo 3

Let $F$ be a field of 8 elements and $A$= {$x\in F$| $x^7$=1 and $x^k$$\neq$1 for all natural number k<1}. Then the number of elements in A is

Some properties of elements of the finite field GF(q)

Does the element exist in the Galois Field?

If $F$ is a field, show the following function is a permutation

If p is a prime positive integer, find all subfields of GF(p)

fields and subspaces

Minimal polynomial reducible modulo every prime $p$

Structure of $G$-invariant bilinear forms over (finite?) fields

Projective special linear group

An example concerning some fields

Elements of subfield $F_{8}$ of $F_{2}[x]/(x^{6}+x+1)$

Elements with order 3 in group $F_{16}/\{0\}$

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