Question

factorization of $x^{15}-1$ in $\mathbb{Z}/11\mathbb{Z}$

score 409 · Answer 1 · 2019-05-01 02:52:06

409

Views

factorization of $x^{15}-1$ in $\mathbb{Z}/11\mathbb{Z}$

Published on 01 May 2019 - 2:52

score 393 · Answer 2 · 2019-05-01 20:37:33

393

Views

Minimal polynomial of extension of degree 2 over a finite field with characteristic 2

Published on 01 May 2019 - 20:37

score 284 · Answer 3 · 2019-05-02 13:00:15

284

Views

If $P$ is an invertible linear operator on a finite dimensional vector space over a finite field, then there is some $n>0$ such that $P^n=I$

Published on 02 May 2019 - 13:00

score 786 · Answer 4 · 2026-03-25 23:35:38

786

Views

Interpolation of a rational function

Published on 25 Mar 2026 - 23:35

score 107 · Answer 5 · 2019-05-03 02:08:56

107

Views

Let $F$ be a finite field with $\text{char}(F) = p$. Now, if $u$ is a primitive element, show that $u^p$ is also primitive.

Published on 03 May 2019 - 2:08

score 83 · Answer 6 · 2026-03-27 01:46:57

83

Views

additive order of any zero divisor in $Z_{p^2}$ is p, is it true?

Published on 27 Mar 2026 - 1:46

score 1.2k · Answer 7 · 2026-03-28 02:48:54

1.2k

Views

trace of Frobenius

Published on 28 Mar 2026 - 2:48

score 251 · Answer 8 · 2026-03-25 03:02:34

251

Views

Conjugacy of Singer cyclic groups in $\mathrm{P\Gamma L}$

Published on 25 Mar 2026 - 3:02

score 53 · Answer 9 · 2019-05-04 10:25:06

53

Views

If $K$ is an extension of $\mathbb{Z}/p\mathbb{Z}$, every elements of $K$ is a root of $t^{p^n -1}-1$

Published on 04 May 2019 - 10:25

score 170 · Answer 10 · 2026-03-25 01:18:48

170

Views

how many points belong to the quadric $x_0^2+x_1^2+x_2^2+x_3^2=0$ in $\mathbb{P}_3$ over $\mathbb{F}_9$

Published on 25 Mar 2026 - 1:18

score 89 · Answer 11 · 2019-05-06 14:28:23

89

Views

Multivariate variate polynomials over finite field with common root will have another root, probabilistic proof?

Published on 06 May 2019 - 14:28

score 297 · Answer 12 · 2019-05-07 10:45:20

297

Views

Degree of a splitting field of an irreducible polynomial over $\mathbb{F}_p$

Published on 07 May 2019 - 10:45

score 152 · Answer 13 · 2026-03-25 12:28:24

152

Views

Subrings $A$ of $\mathbb{F}_p[x]$ such that $\dim_{\mathbb{F}_p}\mathbb{F}_p[x]/A=1$.

Published on 25 Mar 2026 - 12:28

score 287 · Answer 14 · 2026-03-28 02:48:44

287

Views

Elliptic Curve over a Finite Field, Adding Graphically

Published on 28 Mar 2026 - 2:48

score 226 · Answer 15 · 2019-05-10 19:10:03

226

Views

Proving an isomorphism of Galois group

Published on 10 May 2019 - 19:10

List Question

factorization of $x^{15}-1$ in $\mathbb{Z}/11\mathbb{Z}$

Minimal polynomial of extension of degree 2 over a finite field with characteristic 2

If $P$ is an invertible linear operator on a finite dimensional vector space over a finite field, then there is some $n>0$ such that $P^n=I$

Interpolation of a rational function

Let $F$ be a finite field with $\text{char}(F) = p$. Now, if $u$ is a primitive element, show that $u^p$ is also primitive.

additive order of any zero divisor in $Z_{p^2}$ is p, is it true?

trace of Frobenius

Conjugacy of Singer cyclic groups in $\mathrm{P\Gamma L}$

If $K$ is an extension of $\mathbb{Z}/p\mathbb{Z}$, every elements of $K$ is a root of $t^{p^n -1}-1$

how many points belong to the quadric $x_0^2+x_1^2+x_2^2+x_3^2=0$ in $\mathbb{P}_3$ over $\mathbb{F}_9$

Multivariate variate polynomials over finite field with common root will have another root, probabilistic proof?

Degree of a splitting field of an irreducible polynomial over $\mathbb{F}_p$

Subrings $A$ of $\mathbb{F}_p[x]$ such that $\dim_{\mathbb{F}_p}\mathbb{F}_p[x]/A=1$.

Elliptic Curve over a Finite Field, Adding Graphically

Proving an isomorphism of Galois group

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