Question

Intersection of two extensions of $\mathbb{Q}$

score 48 · Answer 1 · 2020-08-10 07:48:01

48

Views

Intersection of two extensions of $\mathbb{Q}$

Published on 10 Aug 2020 - 7:48

score 65 · Answer 2 · 2020-08-12 15:13:44

65

Views

Determinant of matrix representation of a linear operator associated with cyclotomic extension

Published on 12 Aug 2020 - 15:13

score 85 · Answer 3 · 2020-08-22 18:23:37

85

Views

Relationships between absolute Galois groups

Published on 22 Aug 2020 - 18:23

score 412 · Answer 4 · 2020-08-23 21:29:59

412

Views

Showing $K(\sqrt \alpha)/F$ is Galois if and only if $\sigma(\alpha)/\alpha$ is a unit and a square.

Published on 23 Aug 2020 - 21:29

score 180 · Answer 5 · 2020-08-25 09:29:00

180

Views

Galois Group of $\mathbb Q(\zeta_{np}) / \mathbb Q(\zeta_{n/p})$ is cyclic for a prime $p\mid n$.

Published on 25 Aug 2020 - 9:29

score 135 · Answer 6 · 2020-08-29 03:30:26

135

Views

Galois Group of Splitting Field Containing $\sqrt[3]{a+b\sqrt{2}}$

Published on 29 Aug 2020 - 3:30

score 96 · Answer 7 · 2020-08-29 17:19:08

96

Views

Upper bound for determinant of matrix representation of linear operator

Published on 29 Aug 2020 - 17:19

score 90 · Answer 8 · 2020-08-30 17:19:17

90

Views

example of a simple Galois extension over $\mathbb{Q}$

Published on 30 Aug 2020 - 17:19

score 75 · Answer 9 · 2020-08-31 18:03:19

75

Views

Upper bound for the Norm of an algebraic number

Published on 31 Aug 2020 - 18:03

score 132 · Answer 10 · 2020-09-03 14:36:15

132

Views

Relationship between two Galois Theorems.

Published on 03 Sep 2020 - 14:36

score 125 · Answer 11 · 2020-09-04 19:39:05

125

Views

Automorphisms of $\mathbb{C}$ and Galois Theory

Published on 04 Sep 2020 - 19:39

score 109 · Answer 12 · 2020-09-08 10:37:21

109

Views

How to decide when the field $\mathbb{Q}(\sqrt{a})$ where $a>0$ can be embedded in a cyclic Galois extension of order 4 over $\mathbb{Q}$?

Published on 08 Sep 2020 - 10:37

score 219 · Answer 13 · 2020-09-14 14:01:19

219

Views

Equivalent definitions of field norm for number fields

Published on 14 Sep 2020 - 14:01

score 503 · Answer 14 · 2020-09-20 13:43:20

503

Views

To find the number of Elements of order 4 in Galois Field $GF(p^n)^*$,

Published on 20 Sep 2020 - 13:43

score 54 · Answer 15 · 2020-09-27 09:31:30

54

Views

Are field extensions $\mathbb{Q}(\sqrt{2},\sqrt{3})$ and $\mathbb{Q}(\sqrt{2})(\sqrt{3})$ the same thing?

Published on 27 Sep 2020 - 9:31

List Question

Intersection of two extensions of $\mathbb{Q}$

Determinant of matrix representation of a linear operator associated with cyclotomic extension

Relationships between absolute Galois groups

Showing $K(\sqrt \alpha)/F$ is Galois if and only if $\sigma(\alpha)/\alpha$ is a unit and a square.

Galois Group of $\mathbb Q(\zeta_{np}) / \mathbb Q(\zeta_{n/p})$ is cyclic for a prime $p\mid n$.

Galois Group of Splitting Field Containing $\sqrt[3]{a+b\sqrt{2}}$

Upper bound for determinant of matrix representation of linear operator

example of a simple Galois extension over $\mathbb{Q}$

Upper bound for the Norm of an algebraic number

Relationship between two Galois Theorems.

Automorphisms of $\mathbb{C}$ and Galois Theory

How to decide when the field $\mathbb{Q}(\sqrt{a})$ where $a>0$ can be embedded in a cyclic Galois extension of order 4 over $\mathbb{Q}$?

Equivalent definitions of field norm for number fields

To find the number of Elements of order 4 in Galois Field $GF(p^n)^*$,

Are field extensions $\mathbb{Q}(\sqrt{2},\sqrt{3})$ and $\mathbb{Q}(\sqrt{2})(\sqrt{3})$ the same thing?

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