New posts in finite-fields

Elementary proof that all fields of four elements are isomorphic to each other

abstract-algebra proof-verification finite-fields

Polynomials with no solution in polynomial ring $( \mathbb Z / p \mathbb Z)[x]$ [duplicate]

polynomials roots finite-fields

What is the intuition behind defining this isomorphism?

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

In $F_p$ (p prime and odd) one of $-1,2,-2$ is a square

finite-fields

Calculate 2000! (mod 2003)

modular-arithmetic finite-fields factorial

$x^4+x^3+x^2+x+1$ irreducible over $\mathbb F_7$

abstract-algebra polynomials field-theory finite-fields irreducible-polynomials

How to show the only absolute value on a finite field is the trivial one.

abstract-algebra finite-fields valuation-theory

Intuition regarding Chevalley-Warning Theorem

abstract-algebra polynomials algebraic-number-theory intuition finite-fields

Galois Group over Finite Field

abstract-algebra galois-theory finite-fields

Polynomial with no roots over the field $ \mathbb{F}_p $.

polynomials roots finite-fields

automorphisms of a finite field

group-theory finite-groups field-theory galois-theory finite-fields

The number of subspaces over a finite field [duplicate]

linear-algebra finite-fields

Maximal order with primitive determinant in $\operatorname{GL}_n(\mathbb{F}_q)$

determinant finite-fields primitive-roots general-linear-group

Function field in one variable over a finite field.

field-theory finite-fields function-fields

Orientation on finite dimensional vector spaces over finite fields.

abstract-algebra number-theory vector-spaces differential-topology finite-fields

Construction of Irreducible Polynomials over Finite Fields

polynomials finite-fields

A question on the irreducible divisors and splitting field of $x^{p^n} - x\in \mathbb F_p[x]$.

abstract-algebra polynomials finite-fields

Error correction code handling deletions and insertions

discrete-mathematics finite-fields information-theory coding-theory

Understanding Primitive Polynomials in GF(2)?

polynomials finite-fields

How to imagine vector spaces (and projective spaces) over a finite field

vector-spaces finite-fields projective-geometry finite-geometry