Question

Non-split Cartan subgroup of $\text{GL}_{2}(\mathbb{F}_{p})$ can not have an element with distinct rational eigenvalues

score 88 · Answer 1 · 2023-06-05 07:33:41

88

Views

Non-split Cartan subgroup of $\text{GL}_{2}(\mathbb{F}_{p})$ can not have an element with distinct rational eigenvalues

Published on 05 Jun 2023 - 7:33

score 45 · Answer 2 · 2023-06-06 14:32:25

45

Views

How do I show that an element is a primitive element in $GF(2^3)$

Published on 06 Jun 2023 - 14:32

score 27 · Answer 3 · 2023-06-06 15:13:50

27

Views

Sending a vector space of dimension $k$ to the last $k$ coordinates of $\mathbb{F}_q^n$

Published on 06 Jun 2023 - 15:13

score 38 · Answer 4 · 2026-03-26 20:36:28

38

Views

Pairs with relations

Published on 26 Mar 2026 - 20:36

score 43 · Answer 5 · 2023-06-07 16:28:20

43

Views

minimal polynomial over $\mathbb{Z}_7(t^{14})$

Published on 07 Jun 2023 - 16:28

score 87 · Answer 6 · 2023-06-07 19:25:46

87

Views

Help with understanding radical extensions in Galois theory (decomposition field of the polynomial $X^n-a$ over $k$)

Published on 07 Jun 2023 - 19:25

score 81 · Answer 7 · 2023-06-08 01:34:38

81

Views

Four squares theorem for finite fields

Published on 08 Jun 2023 - 1:34

score 80 · Answer 8 · 2026-03-26 09:42:15

80

Views

Reference request: Étale cohomology of quotient by finite group

Published on 26 Mar 2026 - 9:42

score 53 · Answer 9 · 2026-03-28 05:23:11

53

Views

Number of ways to represent an integer $n$ in a finite field $\mathbb F_{p^m}$ as a sum of two squares

Published on 28 Mar 2026 - 5:23

score 30 · Answer 10 · 2026-03-29 23:46:20

30

Views

Every automorphism a of a finite field with characteristic p $\mathbb{F}$ we have that $a(r)=r$ $\forall r\in\mathbb{Z}_{p}$

Published on 29 Mar 2026 - 23:46

score 45 · Answer 11 · 2023-06-11 12:51:42

45

Views

The linear group ${\rm SL}_n(\mathbb{F}_q)$ is absolutely irreducible

Published on 11 Jun 2023 - 12:51

score 106 · Answer 12 · 2026-02-23 08:41:31

106

Views

Counting the number of points on a curve over a finite field by calculators

Published on 23 Feb 2026 - 8:41

score 85 · Answer 13 · 2023-06-12 14:16:18

85

Views

Solving Linear Equations in Finite Field

Published on 12 Jun 2023 - 14:16

score 83 · Answer 14 · 2026-02-23 08:33:55

83

Views

Is $x^{100} - x^2 + 1$ separable in an algebraic closure of $\mathbb{F}_2$

Published on 23 Feb 2026 - 8:33

score 57 · Answer 15 · 2023-06-19 08:11:18

57

Views

Projective image of $G$ equals to $\text{PGL}(2,\mathbb{F}_{q^{n}})$ or $\text{PSL}(2,\mathbb{F}_{q^{n}})$ depending on field extension's parity

Published on 19 Jun 2023 - 8:11

List Question

Non-split Cartan subgroup of $\text{GL}_{2}(\mathbb{F}_{p})$ can not have an element with distinct rational eigenvalues

How do I show that an element is a primitive element in $GF(2^3)$

Sending a vector space of dimension $k$ to the last $k$ coordinates of $\mathbb{F}_q^n$

Pairs with relations

minimal polynomial over $\mathbb{Z}_7(t^{14})$

Help with understanding radical extensions in Galois theory (decomposition field of the polynomial $X^n-a$ over $k$)

Four squares theorem for finite fields

Reference request: Étale cohomology of quotient by finite group

Number of ways to represent an integer $n$ in a finite field $\mathbb F_{p^m}$ as a sum of two squares

Every automorphism a of a finite field with characteristic p $\mathbb{F}$ we have that $a(r)=r$ $\forall r\in\mathbb{Z}_{p}$

The linear group ${\rm SL}_n(\mathbb{F}_q)$ is absolutely irreducible

Counting the number of points on a curve over a finite field by calculators

Solving Linear Equations in Finite Field

Is $x^{100} - x^2 + 1$ separable in an algebraic closure of $\mathbb{F}_2$

Projective image of $G$ equals to $\text{PGL}(2,\mathbb{F}_{q^{n}})$ or $\text{PSL}(2,\mathbb{F}_{q^{n}})$ depending on field extension's parity

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