List questions from galois-extensions

Published on 04 May 2020 - 23:49

84

Views

The constuctability of n-gon(regular n-polygon)

Published on 23 Feb 2026 - 4:55

307

Views

Proposition 14.21 in the book "Abstract Algebra" by Dummit and Foote

Published on 05 May 2020 - 8:14

92

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Reference request for equivalence of reducibility of $\ell$-adic Galois representation and isogeny of degree $\ell$ on elliptic curve

Published on 25 Mar 2026 - 7:45

76

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Is the Galois condition necessary in order to define an action on an elliptic curve?

Published on 25 Mar 2026 - 7:44

173

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Subfields of splitting field of $x^{15}-1$ over $\mathbb Q$

Published on 26 Mar 2026 - 17:47

499

Views

Exactness of Inflation restriction sequence, Galois Cohomology

Published on 26 Mar 2026 - 22:54

189

Views

Linearly independent vectors over a field and its subfield

Published on 12 May 2020 - 10:30

157

Views

Can there exist a finite extension $K$ where $K$ is Galois over $\mathbb Q(i)$ but $K$ is not Galois over $\mathbb Q?$

Published on 26 Mar 2026 - 17:50

35

Views

For every $H \subset \operatorname{Gal}(E / \mathbb{Q})$ find the fixed field $E^H$

Published on 15 May 2020 - 15:35

781

Views

Arithmetic in GF$(2^{32})$ using GF$(2^{16})$ and extensions

Published on 15 May 2020 - 16:46

456

Views

Galois Group of $x^{6}-2x^{3}-1$

Published on 28 Mar 2026 - 6:13

149

Views

Divide any given angle into $n$ equal parts using paper folding

Published on 26 Mar 2026 - 22:58

380

Views

Galois Group of $K/\mathbb Q$ and Embeddings $K\to\mathbb C$

Published on 20 May 2020 - 18:27

122

Views

Why this polynomial reducible? (composite field)

Published on 21 May 2020 - 12:44

List Question

Why should the real numbers interact with number fields and Galois theory?

The constuctability of n-gon(regular n-polygon)

Proposition 14.21 in the book "Abstract Algebra" by Dummit and Foote

Reference request for equivalence of reducibility of $\ell$-adic Galois representation and isogeny of degree $\ell$ on elliptic curve

Is the Galois condition necessary in order to define an action on an elliptic curve?

Subfields of splitting field of $x^{15}-1$ over $\mathbb Q$

Exactness of Inflation restriction sequence, Galois Cohomology

Linearly independent vectors over a field and its subfield

Can there exist a finite extension $K$ where $K$ is Galois over $\mathbb Q(i)$ but $K$ is not Galois over $\mathbb Q?$

For every $H \subset \operatorname{Gal}(E / \mathbb{Q})$ find the fixed field $E^H$

Arithmetic in GF$(2^{32})$ using GF$(2^{16})$ and extensions

Galois Group of $x^{6}-2x^{3}-1$

Divide any given angle into $n$ equal parts using paper folding

Galois Group of $K/\mathbb Q$ and Embeddings $K\to\mathbb C$

Why this polynomial reducible? (composite field)

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