List questions from galois-theory

Published on 04 Apr 2019 - 22:26

224

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Books in ANT and Galois Theory with medium difficulty

Published on 28 Mar 2026 - 3:34

487

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Prove that the Galois Group Is $D_{10}$

Published on 31 Mar 2026 - 11:00

38

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extending automorphisms in a tower of fields

Published on 25 Mar 2026 - 23:10

28

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Finite Extension has Finitely Many Automorphisms?

Published on 05 Apr 2019 - 17:21

75

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Help proving an alternative version of Chinese Residue Theorem in the ring of polynomials.

Published on 05 Apr 2019 - 20:03

274

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Galois group of a polynomial of degree 5

Published on 28 Mar 2026 - 17:41

388

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Galois group over the field $\mathbb{C}(t)$

Published on 06 Apr 2019 - 17:28

208

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Show that $E/F$ is an abelian Galois extension such that $G=\text{Gal}(E/F)$ has exponent $m$ dividing $n$

Published on 25 Mar 2026 - 22:26

280

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Faithful group action and Galois correspondence

Published on 07 Apr 2019 - 1:27

256

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$\Bbb Q(\sqrt{D_f})$ is an intermediate field with degree of extension $2$

Published on 24 Mar 2026 - 22:08

59

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is $\Bbb Q(2^{1/4}) \subseteq \Bbb Q(\zeta_{16})$

Published on 25 Mar 2026 - 1:26

396

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Is $\Bbb Q(\sqrt{15}) \subset \Bbb Q(\zeta_{15})$?

Published on 25 Mar 2026 - 1:27

191

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Questions on $\Bbb Q(\zeta_7 + {\zeta_7}^{-1})|\Bbb Q$

Published on 25 Mar 2026 - 1:27

111

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Are Galois conjugates of a prime of a cyclotomic ring also primes?

Published on 23 Feb 2026 - 3:00

List Question

Compute $[L:\mathbb{Q}]$ and find the Galois group $G = \text{Aut}_{\mathbb{Q}}(L)$

Books in ANT and Galois Theory with medium difficulty

Prove that the Galois Group Is $D_{10}$

extending automorphisms in a tower of fields

Finite Extension has Finitely Many Automorphisms?

Help proving an alternative version of Chinese Residue Theorem in the ring of polynomials.

Galois group of a polynomial of degree 5

Galois group over the field $\mathbb{C}(t)$

Show that $E/F$ is an abelian Galois extension such that $G=\text{Gal}(E/F)$ has exponent $m$ dividing $n$

Faithful group action and Galois correspondence

$\Bbb Q(\sqrt{D_f})$ is an intermediate field with degree of extension $2$

is $\Bbb Q(2^{1/4}) \subseteq \Bbb Q(\zeta_{16})$

Is $\Bbb Q(\sqrt{15}) \subset \Bbb Q(\zeta_{15})$?

Questions on $\Bbb Q(\zeta_7 + {\zeta_7}^{-1})|\Bbb Q$

Are Galois conjugates of a prime of a cyclotomic ring also primes?

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