Question

Is $K\mathbb P^n\cong K^n\mathbin{\dot\cup}K\mathbb P^{n-1}$ for all fields $K$?

score 31 · Answer 1 · 2026-03-30 06:46:40

31

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Is $K\mathbb P^n\cong K^n\mathbin{\dot\cup}K\mathbb P^{n-1}$ for all fields $K$?

Published on 30 Mar 2026 - 6:46

score 927 · Answer 2 · 2026-03-27 00:03:02

927

Views

In cryptography, why do we reduce elliptic curves over finite fields?

Published on 27 Mar 2026 - 0:03

score 318 · Answer 3 · 2026-04-03 14:49:30

318

Views

What is known about the numbers $M_p = \left\vert C(\mathbb{F}_p )\right\vert$?

Published on 03 Apr 2026 - 14:49

score 1.6k · Answer 4 · 2015-02-19 03:48:48

1.6k

Views

Automorphism group of the general affine group of the affine line over a finite field?

Published on 19 Feb 2015 - 3:48

score 64 · Answer 5 · 2026-02-23 09:30:22

64

Views

Counting couples of square-free polynomials over finite fields

Published on 23 Feb 2026 - 9:30

score 47 · Answer 6 · 2026-03-25 06:10:58

47

Views

Zero as a repeated permental root for a matrix over a finite field

Published on 25 Mar 2026 - 6:10

score 1.7k · Answer 7 · 2015-02-19 23:59:05

1.7k

Views

Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?

Published on 19 Feb 2015 - 23:59

score 1.7k · Answer 8 · 2026-04-04 08:42:57

1.7k

Views

Proving that $X^4+1$ is reducible over all finite prime fields

Published on 04 Apr 2026 - 8:42

score 869 · Answer 9 · 2015-02-22 12:51:53

869

Views

To Factorize $x^{27}-x$ over $\mathbb F_3$.

Published on 22 Feb 2015 - 12:51

score 605 · Answer 10 · 2026-03-26 21:08:09

605

Views

Why do the cyclotomic cosets have the same size?

Published on 26 Mar 2026 - 21:08

score 105 · Answer 11 · 2026-04-01 01:19:55

105

Views

Matrices such that their sum equals their product

Published on 01 Apr 2026 - 1:19

score 45 · Answer 12 · 2015-02-23 04:52:23

45

Views

How to find all possible polynomials over a given finite field?

Published on 23 Feb 2015 - 4:52

score 362 · Answer 13 · 2026-03-25 07:53:27

362

Views

Bijections of a finite field that preserve the kernel of the trace

Published on 25 Mar 2026 - 7:53

score 606 · Answer 14 · 2026-03-27 12:03:08

606

Views

Points on an elliptic curve over $\mathbb F_p$

Published on 27 Mar 2026 - 12:03

score 78 · Answer 15 · 2015-02-24 19:15:25

78

Views

Does this equation in $\mathbb{Z}_p$ always have a solution?

Published on 24 Feb 2015 - 19:15

List Question

Is $K\mathbb P^n\cong K^n\mathbin{\dot\cup}K\mathbb P^{n-1}$ for all fields $K$?

In cryptography, why do we reduce elliptic curves over finite fields?

What is known about the numbers $M_p = \left\vert C(\mathbb{F}_p )\right\vert$?

Automorphism group of the general affine group of the affine line over a finite field?

Counting couples of square-free polynomials over finite fields

Zero as a repeated permental root for a matrix over a finite field

Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?

Proving that $X^4+1$ is reducible over all finite prime fields

To Factorize $x^{27}-x$ over $\mathbb F_3$.

Why do the cyclotomic cosets have the same size?

Matrices such that their sum equals their product

How to find all possible polynomials over a given finite field?

Bijections of a finite field that preserve the kernel of the trace

Points on an elliptic curve over $\mathbb F_p$

Does this equation in $\mathbb{Z}_p$ always have a solution?

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