Question

Finding a Galois extension of the rationals whose Galois group is isomorphic to $\mathbb{Z}_3 \oplus \mathbb{Z}_3$

score 934 · Answer 1 · 2018-02-23 03:57:12

934

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Finding a Galois extension of the rationals whose Galois group is isomorphic to $\mathbb{Z}_3 \oplus \mathbb{Z}_3$

Published on 23 Feb 2018 - 3:57

score 195 · Answer 2 · 2026-03-25 11:14:56

195

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finding irreducible factors of polynomial in finite field

Published on 25 Mar 2026 - 11:14

score 634 · Answer 3 · 2026-03-25 14:20:52

634

Views

converse of reduction criterion?

Published on 25 Mar 2026 - 14:20

score 50 · Answer 4 · 2018-02-27 23:35:12

50

Views

$G$ be the subgroup of $Aut_KK(x)$ that is induced by $x\rightarrow x + 1_K$. Then G is an infinite cyclic group.

Published on 27 Feb 2018 - 23:35

score 150 · Answer 5 · 2018-03-03 03:17:15

150

Views

Undergraduate algebra problem of field theory

Published on 03 Mar 2018 - 3:17

score 131 · Answer 6 · 2018-03-03 19:13:19

131

Views

Image of an element under a Galois group

Published on 03 Mar 2018 - 19:13

score 48 · Answer 7 · 2026-03-25 06:05:26

48

Views

Embeddings of infinite algebraic extensions of $\mathbb Q$

Published on 25 Mar 2026 - 6:05

score 388 · Answer 8 · 2018-03-05 11:11:57

388

Views

Can sextic resolvent of an irreducible quintic have repeated root?

Published on 05 Mar 2018 - 11:11

score 133 · Answer 9 · 2026-03-25 08:01:49

133

Views

On proving that a splitting field over a field $L$ is also a splitting field over a subfield of $L$

Published on 25 Mar 2026 - 8:01

score 61 · Answer 10 · 2018-03-06 12:30:31

61

Views

How the Eigen value changes under extension of scalars

Published on 06 Mar 2018 - 12:30

score 105 · Answer 11 · 2026-03-25 10:55:30

105

Views

Showing $\mathbb{Q}(\sqrt[]{m})\neq \mathbb{Q}(\sqrt[]{m},\sqrt[]{n})$

Published on 25 Mar 2026 - 10:55

score 55 · Answer 12 · 2018-03-07 04:56:25

55

Views

what is meant "Express the following as polynomials in α of degree at most 2"?

Published on 07 Mar 2018 - 4:56

score 63 · Answer 13 · 2026-03-25 06:03:59

63

Views

Number of elements in the cyclotomic $F$ class.

Published on 25 Mar 2026 - 6:03

score 718 · Answer 14 · 2026-03-25 17:42:18

718

Views

Find all irreducible polynomials of $F_5[X]$ of degree 4 and classify which are primitive

Published on 25 Mar 2026 - 17:42

score 52 · Answer 15 · 2026-03-25 06:03:46

52

Views

Doubt in a MO link involving different proof of Hilbert $90.$

Published on 25 Mar 2026 - 6:03

List Question

Finding a Galois extension of the rationals whose Galois group is isomorphic to $\mathbb{Z}_3 \oplus \mathbb{Z}_3$

finding irreducible factors of polynomial in finite field

converse of reduction criterion?

$G$ be the subgroup of $Aut_KK(x)$ that is induced by $x\rightarrow x + 1_K$. Then G is an infinite cyclic group.

Undergraduate algebra problem of field theory

Image of an element under a Galois group

Embeddings of infinite algebraic extensions of $\mathbb Q$

Can sextic resolvent of an irreducible quintic have repeated root?

On proving that a splitting field over a field $L$ is also a splitting field over a subfield of $L$

How the Eigen value changes under extension of scalars

Showing $\mathbb{Q}(\sqrt[]{m})\neq \mathbb{Q}(\sqrt[]{m},\sqrt[]{n})$

what is meant "Express the following as polynomials in α of degree at most 2"?

Number of elements in the cyclotomic $F$ class.

Find all irreducible polynomials of $F_5[X]$ of degree 4 and classify which are primitive

Doubt in a MO link involving different proof of Hilbert $90.$

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