Newbetuts

Does a finite field ${\bf F}_q$, viewed as a vector space over another finite field, have a basis of squares?

Are quartic minimal polynomials over $\mathbb{Q}$ always reducible over $\mathbb{F}_p$?

Nicer proof that $2^{n+2}$ divides $3^m-1$ if and only if $2^{n}$ divides $m$

Finite Field Extensions and the Sum of the Elements in Proper Subextensions (Follow-Up Question)

What is the number of distinct subgroups of the automorphism group of $\mathbf{F}_{3^{100}}$?

Isomorphism of sets

Count the number of rational canonical form&find similarity classess

How many elements are in the projective line $\mathbb{P}^{1}(k)$ if k is a finite field

Construct a field of 25 elements.

Is a field with cyclic multiplicative group necessarily finite? [duplicate]

Proving that one has solved chess by exhibiting the zeroes of polynomials over finite fields?

Number of solns of $x^6+x=a$ in $\mathbb{F}_{2^m}$, where $m\geq 3$ is odd is same as number of solns of $x^2+ax+1=0$

Counting minimum elements needed such that their sum covers the whole finite space.

$\bar{\mathbb{F}}_p$ is not a finite degree extension of any proper subfield.

Embed finite field in algebraic closed field

How to prove $X^{4}+X^{3}+X^{2}+X+1$ is irreductible in $\mathbb{F}_{2}$

Is it possible to a root of a Gaussian integer be a Hurwitz quaternion?

New posts in finite-fields

Quadratic Extension of Finite field

Counting roots of a multivariate polynomial over a finite field

What is the algebraic closure of $\mathbb F_q$?

Does a finite field ${\bf F}_q$, viewed as a vector space over another finite field, have a basis of squares?

Are quartic minimal polynomials over $\mathbb{Q}$ always reducible over $\mathbb{F}_p$?

Nicer proof that $2^{n+2}$ divides $3^m-1$ if and only if $2^{n}$ divides $m$

Finite Field Extensions and the Sum of the Elements in Proper Subextensions (Follow-Up Question)

What is the number of distinct subgroups of the automorphism group of $\mathbf{F}_{3^{100}}$?

Isomorphism of sets

Count the number of rational canonical form&find similarity classess

How many elements are in the projective line $\mathbb{P}^{1}(k)$ if k is a finite field

Construct a field of 25 elements.

Is a field with cyclic multiplicative group necessarily finite? [duplicate]

Proving that one has solved chess by exhibiting the zeroes of polynomials over finite fields?

Number of solns of $x^6+x=a$ in $\mathbb{F}_{2^m}$, where $m\geq 3$ is odd is same as number of solns of $x^2+ax+1=0$

Counting minimum elements needed such that their sum covers the whole finite space.

$\bar{\mathbb{F}}_p$ is not a finite degree extension of any proper subfield.

Embed finite field in algebraic closed field

How to prove $X^{4}+X^{3}+X^{2}+X+1$ is irreductible in $\mathbb{F}_{2}$

Is it possible to a root of a Gaussian integer be a Hurwitz quaternion?