Question

Question on primary assumption in this proof that every multiplicative group of finite field is cyclic.

score 66 · Answer 1 · 2026-03-28 06:59:56

66

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Question on primary assumption in this proof that every multiplicative group of finite field is cyclic.

Published on 28 Mar 2026 - 6:59

score 168 · Answer 2 · 2019-09-01 18:58:13

168

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For $1 \leq m \leq n$ there is an element of order $q^m-1$ in $GL_n(\mathbb F_q).$

Published on 01 Sep 2019 - 18:58

score 54 · Answer 3 · 2019-09-02 02:39:12

54

Views

Does there necessarily exist an element $b$ of the GF(p) satisfying $b^2 = a$?

Published on 02 Sep 2019 - 2:39

score 35 · Answer 4 · 2019-09-03 09:40:27

35

Views

Log cycles in $GF(2^8)$

Published on 03 Sep 2019 - 9:40

score 58 · Answer 5 · 2019-09-03 11:53:01

58

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The set of subfields is totally ordered

Published on 03 Sep 2019 - 11:53

score 128 · Answer 6 · 2026-03-25 16:46:33

128

Views

Is $\bar{x}$ a primitive element in $\mathbb{F}_p[x]/(P(x))$

Published on 25 Mar 2026 - 16:46

score 769 · Answer 7 · 2026-03-28 16:14:31

769

Views

Counting points on an elliptic curve

Published on 28 Mar 2026 - 16:14

score 265 · Answer 8 · 2019-09-09 09:22:11

265

Views

How many distinct two-dimensional subspaces (over $F$) does $\textsf V = (\mathbb{Z}_2)^3$ have?

Published on 09 Sep 2019 - 9:22

score 539 · Answer 9 · 2019-09-12 00:15:23

539

Views

Basic Arithmetic in Finite Fields

Published on 12 Sep 2019 - 0:15

score 39 · Answer 10 · 2019-09-13 08:20:30

39

Views

Calculate the zeros of a polynomial in finite fields

Published on 13 Sep 2019 - 8:20

score 1.7k · Answer 11 · 2019-09-14 11:50:27

1.7k

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Show that $\mathbb Z/p\mathbb Z$ contains no zero-divisors except $0$

Published on 14 Sep 2019 - 11:50

score 2.6k · Answer 12 · 2019-09-14 12:41:26

2.6k

Views

$p$ is prime. Show that $\mathbb Z/p\mathbb Z$ is a field

Published on 14 Sep 2019 - 12:41

score 105 · Answer 13 · 2026-03-27 13:19:19

105

Views

Proof for irreducibility of $x^p - x + a$ over $\mathbb{GF}(p)$

Published on 27 Mar 2026 - 13:19

score 81 · Answer 14 · 2026-03-28 21:06:28

81

Views

Number of rational functions with low-degree numerator and denominator

Published on 28 Mar 2026 - 21:06

score 84 · Answer 15 · 2026-03-25 16:20:28

84

Views

Algorithm for Gaussian elimination to permutation matrix over $\mathbb{Z}_2$

Published on 25 Mar 2026 - 16:20

List Question

Question on primary assumption in this proof that every multiplicative group of finite field is cyclic.

For $1 \leq m \leq n$ there is an element of order $q^m-1$ in $GL_n(\mathbb F_q).$

Does there necessarily exist an element $b$ of the GF(p) satisfying $b^2 = a$?

Log cycles in $GF(2^8)$

The set of subfields is totally ordered

Is $\bar{x}$ a primitive element in $\mathbb{F}_p[x]/(P(x))$

Counting points on an elliptic curve

How many distinct two-dimensional subspaces (over $F$) does $\textsf V = (\mathbb{Z}_2)^3$ have?

Basic Arithmetic in Finite Fields

Calculate the zeros of a polynomial in finite fields

Show that $\mathbb Z/p\mathbb Z$ contains no zero-divisors except $0$

$p$ is prime. Show that $\mathbb Z/p\mathbb Z$ is a field

Proof for irreducibility of $x^p - x + a$ over $\mathbb{GF}(p)$

Number of rational functions with low-degree numerator and denominator

Algorithm for Gaussian elimination to permutation matrix over $\mathbb{Z}_2$

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