Question

Why is the order of the n-torsion subgroup equals to $n^2$?

score 281 · Answer 1 · 2026-03-27 00:59:55

281

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Why is the order of the n-torsion subgroup equals to $n^2$?

Published on 27 Mar 2026 - 0:59

score 22 · Answer 2 · 2026-03-26 09:50:05

22

Views

If $f(t,x)\in F_q(t)[x]$ is a Morse function, does this mean splitting field of $f(t,x)$ over $F_q(t)$ is a regular extension?

Published on 26 Mar 2026 - 9:50

score 40 · Answer 3 · 2026-04-13 17:04:50

40

Views

Can you embed a non-degenerate Pappus configuration in the finite projective plane of order 3?

Published on 13 Apr 2026 - 17:04

score 87 · Answer 4 · 2026-04-10 04:07:19

87

Views

Can we use Chinese remainder theorem to "shrink" a field?

Published on 10 Apr 2026 - 4:07

score 612 · Answer 5 · 2026-04-15 19:16:50

Let $p > 2019$ be a prime no. Consider the polynomial $f(x) = (x^2-3)(x^2-673)(x^2-2019)$ How many roots can $f$ possibly have in finite field $F_p$

score 67 · Answer 6 · 2026-04-16 10:57:43

67

Views

Finding the multiplicative inverse of $x^4 −3x^3 +2x^2 +4x−2$ in $\mathbb{Z}_5[x]/g(x)$

Published on 16 Apr 2026 - 10:57

score 88 · Answer 7 · 2026-04-14 11:56:36

88

Views

Are the matrices diagonalizable in the field $K$?

Published on 14 Apr 2026 - 11:56

score 43 · Answer 8 · 2026-05-04 11:08:28

43

Views

$E=F[\alpha]$, where $\alpha$ is a root of $x^p-x-c$.

Published on 04 May 2026 - 11:08

score 76 · Answer 9 · 2026-04-11 06:43:54

76

Views

Can we use Chinese remainder theorem to "shrink" a field? attempt 2

Published on 11 Apr 2026 - 6:43

score 799 · Answer 10 · 2026-04-17 13:58:24

799

Views

Finding modular inverse of $x^4$ in $GF(2^5)\mod (x^5+x^2+1)$

Published on 17 Apr 2026 - 13:58

score 174 · Answer 11 · 2026-04-13 21:12:09

174

Views

Solving an exponential equation for a finite field

Published on 13 Apr 2026 - 21:12

score 77 · Answer 12 · 2026-04-15 19:52:37

77

Views

Are there any non-linear invertible functions $GF(q)^n \to GF(q)^n$

Published on 15 Apr 2026 - 19:52

score 117 · Answer 13 · 2026-04-14 10:24:59

117

Views

How many subspaces of $\Bbb{F}_2^n$ have codimension 1

Published on 14 Apr 2026 - 10:24

score 63 · Answer 14 · 2026-04-11 20:05:14

63

Views

Number of solutions of equation over a finite field

Published on 11 Apr 2026 - 20:05

score 58 · Answer 15 · 2026-04-15 10:57:58

58

Views

Berlekamp Massey

Published on 15 Apr 2026 - 10:57

List Question

Why is the order of the n-torsion subgroup equals to $n^2$?

If $f(t,x)\in F_q(t)[x]$ is a Morse function, does this mean splitting field of $f(t,x)$ over $F_q(t)$ is a regular extension?

Can you embed a non-degenerate Pappus configuration in the finite projective plane of order 3?

Can we use Chinese remainder theorem to "shrink" a field?

Let $p > 2019$ be a prime no. Consider the polynomial $f(x) = (x^2-3)(x^2-673)(x^2-2019)$ How many roots can $f$ possibly have in finite field $F_p$

Finding the multiplicative inverse of $x^4 −3x^3 +2x^2 +4x−2$ in $\mathbb{Z}_5[x]/g(x)$

Are the matrices diagonalizable in the field $K$?

$E=F[\alpha]$, where $\alpha$ is a root of $x^p-x-c$.

Can we use Chinese remainder theorem to "shrink" a field? attempt 2

Finding modular inverse of $x^4$ in $GF(2^5)\mod (x^5+x^2+1)$

Solving an exponential equation for a finite field

Are there any non-linear invertible functions $GF(q)^n \to GF(q)^n$

How many subspaces of $\Bbb{F}_2^n$ have codimension 1

Number of solutions of equation over a finite field

Berlekamp Massey

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