Question

How to determine if two subgroups of $GL(n,q)$ are conjugated

score 90 · Answer 1 · 2026-04-13 09:18:31

90

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How to determine if two subgroups of $GL(n,q)$ are conjugated

Published on 13 Apr 2026 - 9:18

score 2.1k · Answer 2 · 2026-04-16 12:02:43

2.1k

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Prove that in a field $F$ of characteristic $p$, $f(x)=x^p −x−a$ is either irreducible or splits over

Published on 16 Apr 2026 - 12:02

score 1.4k · Answer 3 · 2026-03-27 22:52:56

1.4k

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How are formal Laurent series the completion of rational functions over finite fields

Published on 27 Mar 2026 - 22:52

score 674 · Answer 4 · 2026-04-16 08:50:01

674

Views

Kernel of "polynomial evaluation map" for finite fields

Published on 16 Apr 2026 - 8:50

score 260 · Answer 5 · 2026-04-17 00:23:33

260

Views

Number of solns of $x^6+x=a$ in $\mathbb{F}_{2^m}$, where $m\geq 3$ is odd is same as number of solns of $x^2+ax+1=0$

Published on 17 Apr 2026 - 0:23

score 618 · Answer 6 · 2026-04-17 15:20:50

618

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Suppose that $F$ is a field of order 1024 and $F^*=\langle a\rangle$. List the elements of each subfield of $F$.

Published on 17 Apr 2026 - 15:20

score 324 · Answer 7 · 2026-04-11 20:31:33

324

Views

Is $GF_9[x]$ a principal ideal domain but not a field?

Published on 11 Apr 2026 - 20:31

score 75 · Answer 8 · 2026-04-12 19:31:01

75

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Chain of finite fields

Published on 12 Apr 2026 - 19:31

score 72 · Answer 9 · 2026-04-17 06:38:23

72

Views

Turning $\overline{\mathbb{F}_{q}}$ into a $\mathbb{F}_{q}[X]$-module.

Published on 17 Apr 2026 - 6:38

score 1k · Answer 10 · 2026-04-13 21:56:05

1k

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Why are the roots of generator polynomials consecutive powers?

Published on 13 Apr 2026 - 21:56

score 390 · Answer 11 · 2026-04-14 22:26:50

390

Views

Artin–Schreier polynomial

Published on 14 Apr 2026 - 22:26

score 50 · Answer 12 · 2026-04-17 01:51:35

50

Views

$x^6+x+a=0$ has a zero or two distinct solutions in $\mathbb{F}_{2^m}$

Published on 17 Apr 2026 - 1:51

score 293 · Answer 13 · 2026-04-13 03:56:19

293

Views

divisibility of polynomials over a finite field

Published on 13 Apr 2026 - 3:56

score 363 · Answer 14 · 2026-04-16 01:25:28

363

Views

Find the values of the expression in $ GF(16) $ , the finite field

Published on 16 Apr 2026 - 1:25

score 129 · Answer 15 · 2026-04-17 13:42:50

129

Views

Difference between $\mathbb{F}_q((t))$ and $\mathbb{F_q}((\frac{1}{t}))$

Published on 17 Apr 2026 - 13:42

List Question

How to determine if two subgroups of $GL(n,q)$ are conjugated

Prove that in a field $F$ of characteristic $p$, $f(x)=x^p −x−a$ is either irreducible or splits over

How are formal Laurent series the completion of rational functions over finite fields

Kernel of "polynomial evaluation map" for finite fields

Number of solns of $x^6+x=a$ in $\mathbb{F}_{2^m}$, where $m\geq 3$ is odd is same as number of solns of $x^2+ax+1=0$

Suppose that $F$ is a field of order 1024 and $F^*=\langle a\rangle$. List the elements of each subfield of $F$.

Is $GF_9[x]$ a principal ideal domain but not a field?

Chain of finite fields

Turning $\overline{\mathbb{F}_{q}}$ into a $\mathbb{F}_{q}[X]$-module.

Why are the roots of generator polynomials consecutive powers?

Artin–Schreier polynomial

$x^6+x+a=0$ has a zero or two distinct solutions in $\mathbb{F}_{2^m}$

divisibility of polynomials over a finite field

Find the values of the expression in $ GF(16) $ , the finite field

Difference between $\mathbb{F}_q((t))$ and $\mathbb{F_q}((\frac{1}{t}))$

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