New posts in finite-fields

How can I prove irreducibility of polynomial over a finite field?

abstract-algebra polynomials finite-fields irreducible-polynomials

Quotient ring $\frac{\mathbb{Z}_n[x]}{⟨f(x)^2⟩}$

ring-theory field-theory finite-fields irreducible-polynomials chinese-remainder-theorem

Find generator of multiplicative group of $\mathbb{F}_{27}$

finite-fields cyclic-groups

Visualising finite fields

abstract-algebra intuition finite-fields visualization

how to find $|GL_2(F_p)|$ [duplicate]

finite-fields

Prove that there is no element of order $8$ in $SL(2,3)$

abstract-algebra finite-groups finite-fields

How to calculate the eigenvalues of a matrix over a finite field?

linear-algebra matrices eigenvalues-eigenvectors finite-fields

On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$

abstract-algebra polynomials field-theory finite-fields

Intermediate fields of a finite field extension that is not separable

abstract-algebra field-theory finite-fields extension-field

How many irreducible factors does $x^n-1$ have over finite field?

abstract-algebra polynomials finite-fields irreducible-polynomials

Squarefree polynomials over finite fields

combinatorics finite-fields

Probability of a random $n \times n$ matrix over $\mathbb F_2$ being nonsingular

probability combinatorics matrices finite-fields determinant

Square root for Galois fields $GF(2^m)$

finite-fields

Normed vector spaces over finite fields

vector-spaces normed-spaces finite-fields

Solve $x^3+x \equiv 1 \pmod p$

number-theory algebraic-number-theory finite-fields

Dimension of maximal totally isotropic space over finite field with standard bilinear form

linear-algebra finite-fields orthogonality bilinear-form

Traceless matrices and commutators

matrices finite-fields

The Caverns of Primitive Polynomial GF[2]

polynomials graph-theory recreational-mathematics finite-fields

Is every primitive element of a finite field of characteristic $2$, a generator of the multiplicative group?

abstract-algebra group-theory field-theory galois-theory finite-fields

Splitting fields of polynomials over finite fields

galois-theory finite-fields