List questions from irreducible-polynomials

69

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Let $p(x) = x^3 + x + 1 \in \mathbb Z_2[x]$ and $E = \mathbb Z_2[x]/p(x)$. Factor $p(x)$ into linear factors in $E[x]$.

Published on 13 Mar 2018 - 16:57

352

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Basis over GF(2^5) with sum of its elements = 1

Published on 15 Mar 2018 - 18:31

292

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Irreducible polynomial over $GF(32)$

Published on 15 Mar 2018 - 21:24

303

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Is $f(y) = 5 - 4y^2 + y^4$ irreducible over $\mathbb{Q}(\sqrt{5})$?

Published on 16 Mar 2018 - 1:41

226

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There are infinitely prime numbers $p$, st $P(x)+p$ is irreducible over $\mathbb{Z}[x]$

Published on 17 Mar 2018 - 9:55

35

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$f(x)=x^{p^n}-b$ is irreducible

Published on 18 Mar 2018 - 15:50

47

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$x^2-2$ is irreducible in $\mathbb{Q}[x]$ implies that $\mathbb{Q}[\sqrt{2}]$ is a field

Published on 19 Mar 2018 - 5:09

1k

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Irreducibility using Fermat's Little Theorem

Published on 19 Mar 2018 - 13:01

438

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Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?

Published on 19 Mar 2018 - 22:07

104

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Doubly transitive Galois group

Published on 22 Mar 2018 - 9:16

89

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How to show that, the Galois Group is doubly transitive.

Published on 23 Mar 2018 - 7:36

130

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Proof, that factor of irreducible polynomial is irreducible over field defined by root of irreducible

Published on 25 Mar 2018 - 20:33

83

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What is $(x^7-x)mod(x^6-3)$ equal to?

Published on 27 Mar 2018 - 21:51

82

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A question on Finite fields and irreducible polynomials.

Published on 28 Mar 2018 - 5:54

60

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Polynomial divibility over finite field

Published on 29 Mar 2018 - 16:44

List Question

Let $p(x) = x^3 + x + 1 \in \mathbb Z_2[x]$ and $E = \mathbb Z_2[x]/p(x)$. Factor $p(x)$ into linear factors in $E[x]$.

Basis over GF(2^5) with sum of its elements = 1

Irreducible polynomial over $GF(32)$

Is $f(y) = 5 - 4y^2 + y^4$ irreducible over $\mathbb{Q}(\sqrt{5})$?

There are infinitely prime numbers $p$, st $P(x)+p$ is irreducible over $\mathbb{Z}[x]$

$f(x)=x^{p^n}-b$ is irreducible

$x^2-2$ is irreducible in $\mathbb{Q}[x]$ implies that $\mathbb{Q}[\sqrt{2}]$ is a field

Irreducibility using Fermat's Little Theorem

Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?

Doubly transitive Galois group

How to show that, the Galois Group is doubly transitive.

Proof, that factor of irreducible polynomial is irreducible over field defined by root of irreducible

What is $(x^7-x)mod(x^6-3)$ equal to?

A question on Finite fields and irreducible polynomials.

Polynomial divibility over finite field

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