Question

trying to understand the relation between quotient rings and Field extensions

score 475 · Answer 1 · 2018-03-21 22:24:01

475

Views

trying to understand the relation between quotient rings and Field extensions

Published on 21 Mar 2018 - 22:24

score 122 · Answer 2 · 2018-03-21 22:44:55

122

Views

Describing subfields of $\mathbb{Z}_2(t)$

Published on 21 Mar 2018 - 22:44

score 298 · Answer 3 · 2018-03-22 00:43:35

298

Views

Finding the Galois group of $x^3-2$ over $\mathbb{Q}$.

Published on 22 Mar 2018 - 0:43

score 105 · Answer 4 · 2026-03-25 03:18:57

105

Views

Doubly transitive Galois group

Published on 25 Mar 2026 - 3:18

score 107 · Answer 5 · 2026-03-25 05:59:42

107

Views

How much do you need to prove when finding splitting fields?

Published on 25 Mar 2026 - 5:59

score 90 · Answer 6 · 2026-03-25 03:20:37

90

Views

How to show that, the Galois Group is doubly transitive.

Published on 25 Mar 2026 - 3:20

score 91 · Answer 7 · 2018-03-23 14:18:11

91

Views

On the injectivity of a mapping from the set of field extensions into the Galois group

Published on 23 Mar 2018 - 14:18

score 45 · Answer 8 · 2018-03-24 12:06:11

45

Views

Finding intermediate fields and zeroes of a splitting field

Published on 24 Mar 2018 - 12:06

score 909 · Answer 9 · 2018-03-24 14:00:37

909

Views

Is $L$ normal over $E$ whenever it is normal over a subfield of $E$?

Published on 24 Mar 2018 - 14:00

score 475 · Answer 10 · 2018-03-25 18:02:10

475

Views

Suppose $Gal(K/Q)$ is the symmetric group $S_{n}$ with $n>2$. Show that if $n\geq 4$, then the $nth$ power of the roof of $f$ is not rational

Published on 25 Mar 2018 - 18:02

score 281 · Answer 11 · 2018-03-25 20:10:25

281

Views

Composite of fields of the form $\sigma(K)$ is precisely $L$

Published on 25 Mar 2018 - 20:10

score 184 · Answer 12 · 2026-03-25 09:28:15

184

Views

Square root in finite degree extension of odd characteristic field.

Published on 25 Mar 2026 - 9:28

score 2.1k · Answer 13 · 2018-03-26 18:20:57

2.1k

Views

The Galois Group of $x^n-1$ is isomorphic to $(Z/nZ)^x$

Published on 26 Mar 2018 - 18:20

score 34 · Answer 14 · 2018-03-26 18:59:07

34

Views

Example of commuting field automorphisms that don't extend to algebraic closure?

Published on 26 Mar 2018 - 18:59

score 479 · Answer 15 · 2018-03-26 22:44:12

479

Views

Two definitions of characteristic polynomial for fintie separable extension

Published on 26 Mar 2018 - 22:44

List Question

trying to understand the relation between quotient rings and Field extensions

Describing subfields of $\mathbb{Z}_2(t)$

Finding the Galois group of $x^3-2$ over $\mathbb{Q}$.

Doubly transitive Galois group

How much do you need to prove when finding splitting fields?

How to show that, the Galois Group is doubly transitive.

On the injectivity of a mapping from the set of field extensions into the Galois group

Finding intermediate fields and zeroes of a splitting field

Is $L$ normal over $E$ whenever it is normal over a subfield of $E$?

Suppose $Gal(K/Q)$ is the symmetric group $S_{n}$ with $n>2$. Show that if $n\geq 4$, then the $nth$ power of the roof of $f$ is not rational

Composite of fields of the form $\sigma(K)$ is precisely $L$

Square root in finite degree extension of odd characteristic field.

The Galois Group of $x^n-1$ is isomorphic to $(Z/nZ)^x$

Example of commuting field automorphisms that don't extend to algebraic closure?

Two definitions of characteristic polynomial for fintie separable extension

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