Question

What do you mean by splitting field? Find the splitting field of $x^5 -1$

score 201 · Answer 1 · 2018-05-04 06:00:47

201

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What do you mean by splitting field? Find the splitting field of $x^5 -1$

Published on 04 May 2018 - 6:00

score 69 · Answer 2 · 2026-03-24 23:32:17

69

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Suppose all the zeros of $f(x)$ are constructible. Show that $f(x)$ is solvable by radicals.

Published on 24 Mar 2026 - 23:32

score 2.5k · Answer 3 · 2018-05-06 06:33:38

2.5k

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Splitting field of $x^5-1$

Published on 06 May 2018 - 6:33

score 91 · Answer 4 · 2018-05-10 02:46:02

91

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Determine which finite field $F$ must contain so that the splitting field of $F$ over $t^4+1$ is equal to $F $

Published on 10 May 2018 - 2:46

score 325 · Answer 5 · 2026-03-25 09:50:19

325

Views

Finding irreducible factors of $f=t^6-3$ for the fields $F = \mathbb{ Q, Z/5Z, Z/7Z}$

Published on 25 Mar 2026 - 9:50

score 117 · Answer 6 · 2018-05-14 02:00:59

117

Views

Algebraic closure is in some sense minimal

Published on 14 May 2018 - 2:00

score 17 · Answer 7 · 2026-03-16 21:28:06

17

Views

Describe the elemnt in $Q (a^{1/ n}, w) $

Published on 16 Mar 2026 - 21:28

score 349 · Answer 8 · 2018-05-16 13:18:38

349

Views

How to find subgroups, fixed fields and subfields of Galois group?

Published on 16 May 2018 - 13:18

score 93 · Answer 9 · 2018-05-16 22:24:19

93

Views

Calculating the splitting field of a given polynomial.

Published on 16 May 2018 - 22:24

score 407 · Answer 10 · 2018-05-17 01:07:49

407

Views

Prove that no finite field is algebraically closed (using a particular method)

Published on 17 May 2018 - 1:07

score 58 · Answer 11 · 2018-05-17 19:01:12

58

Views

Calculating the splitting field of this polynomial

Published on 17 May 2018 - 19:01

score 116 · Answer 12 · 2018-05-19 02:08:12

116

Views

Find $G (K/F) $ where $K $ is a splitting field of $t^p-t-a \in F [t] $.

Published on 19 May 2018 - 2:08

score 37 · Answer 13 · 2018-05-20 01:12:48

37

Views

Is there a more elegant method to prove that we are in need of a field extension than the one I use?

Published on 20 May 2018 - 1:12

score 47 · Answer 14 · 2026-03-25 09:50:19

47

Views

Does the degree of the splitting field of any irreducible $n$-degree polynomial equal $n$?

Published on 25 Mar 2026 - 9:50

score 68 · Answer 15 · 2018-05-21 02:58:00

68

Views

Verification of Computation of Galois group

Published on 21 May 2018 - 2:58

List Question

What do you mean by splitting field? Find the splitting field of $x^5 -1$

Suppose all the zeros of $f(x)$ are constructible. Show that $f(x)$ is solvable by radicals.

Splitting field of $x^5-1$

Determine which finite field $F$ must contain so that the splitting field of $F$ over $t^4+1$ is equal to $F $

Finding irreducible factors of $f=t^6-3$ for the fields $F = \mathbb{ Q, Z/5Z, Z/7Z}$

Algebraic closure is in some sense minimal

Describe the elemnt in $Q (a^{1/ n}, w) $

How to find subgroups, fixed fields and subfields of Galois group?

Calculating the splitting field of a given polynomial.

Prove that no finite field is algebraically closed (using a particular method)

Calculating the splitting field of this polynomial

Find $G (K/F) $ where $K $ is a splitting field of $t^p-t-a \in F [t] $.

Is there a more elegant method to prove that we are in need of a field extension than the one I use?

Does the degree of the splitting field of any irreducible $n$-degree polynomial equal $n$?

Verification of Computation of Galois group

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