List questions from finite-fields

Published on 26 Mar 2026 - 18:51

459

Views

Find the splitting field of $x^m-1\in\Bbb F_p$.

Published on 15 Apr 2026 - 11:29

87

Views

A kind of imperfect field

Published on 12 Apr 2026 - 6:42

148

Views

Properties of polynomial in finite field

Published on 09 Apr 2026 - 4:40

52

Views

Showing that if $l$ is a prime that divides $q-1$, then $l$ divides $\frac{q^l-1}{q-1}$ and $l^2$ does not divide $\frac{q^l-1}{q-1}$.

Published on 15 Apr 2026 - 18:39

761

Views

Taking power of element of finite field?

Published on 10 Apr 2026 - 22:12

1k

Views

Frobenius Endomorphism on $F_p$

Published on 12 Apr 2026 - 16:07

109

Views

How do I show the existence of an intermediate field between $\mathbb{F}_p$ and its algebraic closure?

Published on 14 Apr 2026 - 9:54

85

Views

Why does $x^2+y=0$ have 8 zeroes?

Published on 14 Apr 2026 - 19:13

72

Views

How to know what the map does in algebraic number theory?

Published on 12 Apr 2026 - 9:44

113

Views

How to find $|\{A \in \mathbb F _7^{5 \times 5}|A \text{ is invertible}\}|$?

Published on 16 Apr 2026 - 3:15

52

Views

How do Galois fields of sizes other than powers of primes behave?

Published on 14 Apr 2026 - 7:18

210

Views

Primitive elements of $\mathbb{F}_5[X]/[X^2-2]$

Published on 29 Mar 2026 - 21:57

80

Views

Number of elements of a field

Published on 15 Apr 2026 - 11:10

905

Views

Finite field extension isomorphism (Algebra by Michael Artin)

Published on 12 Apr 2026 - 19:32

List Question

There is a ring homomorphism of F into E when$|E|$ is not a power of $|F|$

Find the splitting field of $x^m-1\in\Bbb F_p$.

A kind of imperfect field

Properties of polynomial in finite field

Showing that if $l$ is a prime that divides $q-1$, then $l$ divides $\frac{q^l-1}{q-1}$ and $l^2$ does not divide $\frac{q^l-1}{q-1}$.

Taking power of element of finite field?

Frobenius Endomorphism on $F_p$

How do I show the existence of an intermediate field between $\mathbb{F}_p$ and its algebraic closure?

Why does $x^2+y=0$ have 8 zeroes?

How to know what the map does in algebraic number theory?

How to find $|\{A \in \mathbb F _7^{5 \times 5}|A \text{ is invertible}\}|$?

How do Galois fields of sizes other than powers of primes behave?

Primitive elements of $\mathbb{F}_5[X]/[X^2-2]$

Number of elements of a field

Finite field extension isomorphism (Algebra by Michael Artin)

Trending Questions

Popular # Hahtags

Popular Questions