Question

Showing $f\in\mathbb{F}_{p^d}[X]:f'=0\Rightarrow\exists g\in\mathbb{F}_{p^d}[X]:f=g^p$

score 26 · Answer 1 · 2014-06-15 17:04:45

26

Views

Showing $f\in\mathbb{F}_{p^d}[X]:f'=0\Rightarrow\exists g\in\mathbb{F}_{p^d}[X]:f=g^p$

Published on 15 Jun 2014 - 17:04

score 309 · Answer 2 · 2026-03-28 00:49:12

309

Views

Existence of "simple" irreducible polynomial of degree 12 in a finite field

Published on 28 Mar 2026 - 0:49

score 51.3k · Answer 3 · 2014-06-17 17:33:57

51.3k

Views

Why is the multiplicative group of a finite field cyclic?

Published on 17 Jun 2014 - 17:33

score 212 · Answer 4 · 2026-03-28 14:00:20

212

Views

Let $F$ be a field. If $F^*$ is a cyclic group, must $F$ be a finite field?

Published on 28 Mar 2026 - 14:00

score 1.4k · Answer 5 · 2014-06-18 18:28:49

1.4k

Views

Can the set L, of all even polynomials be a subspace of F[X]?

Published on 18 Jun 2014 - 18:28

score 791 · Answer 6 · 2026-03-26 09:42:22

791

Views

A field is finite if and only if its multiplicative group is finitely generated.

Published on 26 Mar 2026 - 9:42

score 351 · Answer 7 · 2026-03-29 12:32:01

351

Views

Number of points on an elliptic curve over $ \mathbb{F}_{q} $.

Published on 29 Mar 2026 - 12:32

score 1.6k · Answer 8 · 2014-06-23 03:54:26

1.6k

Views

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

Published on 23 Jun 2014 - 3:54

score 16.6k · Answer 9 · 2014-06-23 04:16:26

16.6k

Views

Polynomial multiplication modulo polynomial

Published on 23 Jun 2014 - 4:16

score 215 · Answer 10 · 2014-06-23 09:36:21

215

Views

Weird field notation

Published on 23 Jun 2014 - 9:36

score 148 · Answer 11 · 2014-06-23 11:37:39

148

Views

Approximating polynomials over finite fields

Published on 23 Jun 2014 - 11:37

score 121 · Answer 12 · 2014-06-23 14:05:36

121

Views

Isomorphism of Groups (C.S.I.R)

Published on 23 Jun 2014 - 14:05

score 145 · Answer 13 · 2026-03-25 17:38:52

145

Views

Bounds for the norm of certain additive character sums

Published on 25 Mar 2026 - 17:38

score 140 · Answer 14 · 2014-06-25 05:36:52

140

Views

How are the fields $\mathbb{F}_k$(where $k$ is an integer) be generated?

Published on 25 Jun 2014 - 5:36

score 326 · Answer 15 · 2014-06-25 17:54:24

326

Views

Operations in finite field $F_p$

Published on 25 Jun 2014 - 17:54

List Question

Showing $f\in\mathbb{F}_{p^d}[X]:f'=0\Rightarrow\exists g\in\mathbb{F}_{p^d}[X]:f=g^p$

Existence of "simple" irreducible polynomial of degree 12 in a finite field

Why is the multiplicative group of a finite field cyclic?

Let $F$ be a field. If $F^*$ is a cyclic group, must $F$ be a finite field?

Can the set L, of all even polynomials be a subspace of F[X]?

A field is finite if and only if its multiplicative group is finitely generated.

Number of points on an elliptic curve over $ \mathbb{F}_{q} $.

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

Polynomial multiplication modulo polynomial

Weird field notation

Approximating polynomials over finite fields

Isomorphism of Groups (C.S.I.R)

Bounds for the norm of certain additive character sums

How are the fields $\mathbb{F}_k$(where $k$ is an integer) be generated?

Operations in finite field $F_p$

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