List questions from finite-fields

Published on 26 Mar 2026 - 10:59

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Prime subfield is either isomorphic to $\mathbb{Q}$ or $F_p$

Published on 26 Sep 2016 - 22:09

682

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Zero divisors of the ring $\mathbb F_2[x]/\langle x^2+1\rangle$

Published on 28 Sep 2016 - 8:36

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Finding the order of elements of a quotient ring

Published on 28 Sep 2016 - 13:19

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Irreducibility of a polynomial with no roots over $K$, $\mbox{char} K= p$

Published on 31 Mar 2026 - 7:08

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Isomorphisms between finite fields.

Published on 29 Sep 2016 - 22:56

68

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Pila's Algorithm for factoring cyclotomics

Published on 26 Mar 2026 - 10:57

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Question about the proof of $[GF(p^n):GF(p)] = n$

Published on 30 Sep 2016 - 18:27

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$\Bbb F_2[X]$ modules with 8 elements

Published on 01 Oct 2016 - 1:36

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Algebraic Closure of $\mathbf F_p$ [Lang, Algebra, Chapter 6, Problem 22]

Published on 01 Oct 2016 - 11:56

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[From Artin page 340]Question about quotient ring construction

Published on 03 Oct 2016 - 4:43

79

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Find all sets of orthogonal vectors from a given vector space

Published on 30 Mar 2026 - 14:00

84

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Twists in elliptic curves.

Published on 01 Apr 2026 - 0:23

136

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Determinant of matrix with coefficients in field of 4 elements

Published on 05 Oct 2016 - 18:45

438

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Constructing sub-fields of a finite field

Published on 06 Oct 2016 - 6:42

List Question

irreducibility of cyclotomic polynomials

Prime subfield is either isomorphic to $\mathbb{Q}$ or $F_p$

Zero divisors of the ring $\mathbb F_2[x]/\langle x^2+1\rangle$

Finding the order of elements of a quotient ring

Irreducibility of a polynomial with no roots over $K$, $\mbox{char} K= p$

Isomorphisms between finite fields.

Pila's Algorithm for factoring cyclotomics

Question about the proof of $[GF(p^n):GF(p)] = n$

$\Bbb F_2[X]$ modules with 8 elements

Algebraic Closure of $\mathbf F_p$ [Lang, Algebra, Chapter 6, Problem 22]

[From Artin page 340]Question about quotient ring construction

Find all sets of orthogonal vectors from a given vector space

Twists in elliptic curves.

Determinant of matrix with coefficients in field of 4 elements

Constructing sub-fields of a finite field

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