List questions from finite-fields

Published on 23 Dec 2014 - 23:06

2.2k

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The number of automorphisms of a finite field

Published on 24 Dec 2014 - 13:25

115

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Factoring a polynomial over $\mathbb F_{2^8}$

Published on 25 Dec 2014 - 7:38

479

Views

Dummit and Foote page 591

Published on 26 Dec 2014 - 15:46

107

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How to prove the polynomial $ x^{2011}-x\in \mathbb{Z}_{2011}[x] $ is separable?

Published on 29 Mar 2026 - 1:35

993

Views

How many solutions of the equation $x^2-y^2=1$ are there with $x,y\in\mathbb F_{p^n}$?

Published on 27 Dec 2014 - 20:59

55

Views

An equation over $\Bbb F_{3^k}$

Published on 28 Dec 2014 - 13:43

171

Views

Show that the rings $R_1=F_5[x]/(x^2)$ and $R_2=F_5\times F_5$ are not isomorphic.

Published on 30 Dec 2014 - 17:50

971

Views

Galois group of $x^5 + x^2 + 1$ over the field $\mathbb{F}_{2}$

Published on 31 Dec 2014 - 0:18

2k

Views

On full rank matrix properties

Published on 28 Mar 2026 - 6:59

779

Views

annihilator polynomial of a multiplicative group in a Field?

Published on 01 Jan 2015 - 6:37

517

Views

Finite field as a splitting field of some irreducible polynomial

Published on 26 Mar 2026 - 9:49

485

Views

$\Bbb F_p$ where $p$ is an odd prime has exactly half the non-zero elements as a square

Published on 02 Jan 2015 - 3:36

105

Views

Number of subalgebras of dimension $e$ of a finite dimensional algebra over $F_q$ of dimension $d$

Published on 25 Mar 2026 - 9:43

617

Views

Field of polynomials mod n?

Published on 02 Jan 2015 - 17:06

List Question

The finite field extension

The number of automorphisms of a finite field

Factoring a polynomial over $\mathbb F_{2^8}$

Dummit and Foote page 591

How to prove the polynomial $ x^{2011}-x\in \mathbb{Z}_{2011}[x] $ is separable?

How many solutions of the equation $x^2-y^2=1$ are there with $x,y\in\mathbb F_{p^n}$?

An equation over $\Bbb F_{3^k}$

Show that the rings $R_1=F_5[x]/(x^2)$ and $R_2=F_5\times F_5$ are not isomorphic.

Galois group of $x^5 + x^2 + 1$ over the field $\mathbb{F}_{2}$

On full rank matrix properties

annihilator polynomial of a multiplicative group in a Field?

Finite field as a splitting field of some irreducible polynomial

$\Bbb F_p$ where $p$ is an odd prime has exactly half the non-zero elements as a square

Number of subalgebras of dimension $e$ of a finite dimensional algebra over $F_q$ of dimension $d$

Field of polynomials mod n?

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