List questions from galois-theory

Published on 02 Apr 2026 - 0:22

523

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Did I Do This Galois Theory Problem Right? Subfields of $\mathbb{Q}(\zeta_{12})$.

Published on 26 Mar 2026 - 4:34

1.8k

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Advanced Galois theory/field theory book suggestions

Published on 29 Mar 2026 - 7:19

1.5k

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Minimal polynomial reducible modulo every prime $p$

Published on 30 Mar 2026 - 13:36

148

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series of subgroups of the solvable group $Gal(x^6-7) $.

Published on 25 Mar 2026 - 11:16

252

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Prove that $n$ devides $\phi(p^n-1)$

Published on 12 Jun 2014 - 10:08

73

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Separability of a polynomial

Published on 12 Jun 2014 - 15:02

76

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Compute the Galois group for the root field of the polynomial $x^3$+$2x$+2 over $Z_3$

Published on 02 Apr 2026 - 0:15

151

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Continuation on: Let $K = \mathbb{Q}(i2^{1/3}, 3^{1/4})$. Is this a Galois extension?

Published on 02 Apr 2026 - 0:24

92

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Writing $2$ roots of a cubic in terms of the third root

Published on 13 Jun 2014 - 2:13

785

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Discriminant of $x^3+px+q$.

Published on 14 Jun 2014 - 3:10

145

Views

Galois group of quartic in field where every cubic has a root?

Published on 14 Jun 2014 - 3:49

717

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Properties of the extension $\mathbb Q(\sqrt{a\sqrt{D}})$

Published on 15 Jun 2014 - 19:22

73

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Galois Extension of $F$ contained in $F(\sqrt[n]{a})$ must have degree $1$ or $2$

Published on 15 Jun 2014 - 19:27

740

Views

Proof Check: automorphism sends primitive root to primitive root

Published on 27 Mar 2026 - 1:13

List Question

A field without the extension property

Did I Do This Galois Theory Problem Right? Subfields of $\mathbb{Q}(\zeta_{12})$.

Advanced Galois theory/field theory book suggestions

Minimal polynomial reducible modulo every prime $p$

series of subgroups of the solvable group $Gal(x^6-7) $.

Prove that $n$ devides $\phi(p^n-1)$

Separability of a polynomial

Compute the Galois group for the root field of the polynomial $x^3$+$2x$+2 over $Z_3$

Continuation on: Let $K = \mathbb{Q}(i2^{1/3}, 3^{1/4})$. Is this a Galois extension?

Writing $2$ roots of a cubic in terms of the third root

Discriminant of $x^3+px+q$.

Galois group of quartic in field where every cubic has a root?

Properties of the extension $\mathbb Q(\sqrt{a\sqrt{D}})$

Galois Extension of $F$ contained in $F(\sqrt[n]{a})$ must have degree $1$ or $2$

Proof Check: automorphism sends primitive root to primitive root

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