Question

Element of certain order in multiplicative group

score 285 · Answer 1 · 2018-05-04 07:03:55

285

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Element of certain order in multiplicative group

Published on 04 May 2018 - 7:03

score 104 · Answer 2 · 2018-05-04 15:06:12

104

Views

Algebra, finite fields

Published on 04 May 2018 - 15:06

score 57 · Answer 3 · 2018-05-04 23:13:44

57

Views

Describe $\operatorname{Gal}_F(f)$

Published on 04 May 2018 - 23:13

score 43 · Answer 4 · 2018-05-05 15:50:02

43

Views

Why do we have that $\Bbb F_{p^d}$ is a sub-field of $\Bbb F_{p^n}$ iff $d\mid n$?

Published on 05 May 2018 - 15:50

score 533 · Answer 5 · 2026-03-25 08:09:27

533

Views

Factorising polynomials in to their irreducible factors over GF(2)

Published on 25 Mar 2026 - 8:09

score 92 · Answer 6 · 2018-05-06 10:23:30

92

Views

Group made of $\begin{pmatrix} a &b \\ c & d \\ \end{pmatrix}$ where $ad-bc\not=0,a,b,c,d\in \mathbb Z_3$

Published on 06 May 2018 - 10:23

score 1.8k · Answer 7 · 2026-03-26 01:03:29

1.8k

Views

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

Published on 26 Mar 2026 - 1:03

score 34 · Answer 8 · 2018-05-08 16:04:18

34

Views

Let $r$ and $n$ be integers. Give the Galois correspondance for the extension $F_{p^r} \cap F_{p^n} \leq F_{p^r} \vee F_{p^n}$

Published on 08 May 2018 - 16:04

score 59 · Answer 9 · 2026-03-25 08:13:37

59

Views

Under what conditions is an irreducible polynomial in $\operatorname{GF}(p^m)$ also irreducible in $\operatorname{GF}(p^n)$?

Published on 25 Mar 2026 - 8:13

score 22 · Answer 10 · 2018-05-09 17:22:02

22

Views

Natural decomposition of degree 2 field extension

Published on 09 May 2018 - 17:22

score 53 · Answer 11 · 2026-03-22 21:36:32

53

Views

Looking for specific irreducible inseperable polynomial over $\mathbb{F}_2(t)$ where t an indeterminate.

Published on 22 Mar 2026 - 21:36

score 36 · Answer 12 · 2018-05-10 09:42:35

36

Views

Necessity of separable $f \in \mathbb{F}_q[x]$.

Published on 10 May 2018 - 9:42

score 559 · Answer 13 · 2018-05-10 12:15:40

559

Views

Inseparable elements over $\mathbb F_p(t)$

Published on 10 May 2018 - 12:15

score 105 · Answer 14 · 2026-03-25 08:09:19

105

Views

A reducibility of a polynomial $x^2+ax-a+2a^2$

Published on 25 Mar 2026 - 8:09

score 11k · Answer 15 · 2018-05-11 19:16:01

11k

Views

Addition and Multiplication in $F_4$

Published on 11 May 2018 - 19:16

List Question

Element of certain order in multiplicative group

Algebra, finite fields

Describe $\operatorname{Gal}_F(f)$

Why do we have that $\Bbb F_{p^d}$ is a sub-field of $\Bbb F_{p^n}$ iff $d\mid n$?

Factorising polynomials in to their irreducible factors over GF(2)

Group made of $\begin{pmatrix} a &b \\ c & d \\ \end{pmatrix}$ where $ad-bc\not=0,a,b,c,d\in \mathbb Z_3$

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

Let $r$ and $n$ be integers. Give the Galois correspondance for the extension $F_{p^r} \cap F_{p^n} \leq F_{p^r} \vee F_{p^n}$

Under what conditions is an irreducible polynomial in $\operatorname{GF}(p^m)$ also irreducible in $\operatorname{GF}(p^n)$?

Natural decomposition of degree 2 field extension

Looking for specific irreducible inseperable polynomial over $\mathbb{F}_2(t)$ where t an indeterminate.

Necessity of separable $f \in \mathbb{F}_q[x]$.

Inseparable elements over $\mathbb F_p(t)$

A reducibility of a polynomial $x^2+ax-a+2a^2$

Addition and Multiplication in $F_4$

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