Question

The degree of an irreducible polynomial divides an integer n.

score 117 · Answer 1 · 2026-03-29 22:28:50

117

Views

The degree of an irreducible polynomial divides an integer n.

Published on 29 Mar 2026 - 22:28

score 241 · Answer 2 · 2014-03-22 13:03:01

241

Views

to find primitive roots of a galois field

Published on 22 Mar 2014 - 13:03

score 72 · Answer 3 · 2026-04-01 22:43:08

72

Views

Factorization Patterns for Ideals

Published on 01 Apr 2026 - 22:43

score 204 · Answer 4 · 2014-03-23 04:55:02

204

Views

Determine the fixed field of a subgroup of $S_3$ and check the Galois correspondence

Published on 23 Mar 2014 - 4:55

score 28 · Answer 5 · 2026-03-26 16:06:46

28

Views

Square of normal covering splits

Published on 26 Mar 2026 - 16:06

score 1.2k · Answer 6 · 2014-03-23 16:37:07

1.2k

Views

Dummit and Foote on Galois and Representation Theory?

Published on 23 Mar 2014 - 16:37

score 153 · Answer 7 · 2014-03-23 18:29:44

153

Views

Galois group of intermediate fields

Published on 23 Mar 2014 - 18:29

score 359 · Answer 8 · 2014-03-23 20:51:10

359

Views

Can't find intermediate subfield of these cyclotomic extensions!

Published on 23 Mar 2014 - 20:51

score 560 · Answer 9 · 2026-03-26 23:10:51

560

Views

Showing that $\mathbb{Q}(\zeta_p, \sqrt[p]{\ell}) = \mathbb{Q}(\zeta_p + \sqrt[p]{\ell})$ for $p,\ell$ primes.

Published on 26 Mar 2026 - 23:10

score 121 · Answer 10 · 2014-03-24 12:59:27

121

Views

How do we explain the existence of complex conjugation?

Published on 24 Mar 2014 - 12:59

score 58 · Answer 11 · 2026-03-26 23:11:40

58

Views

What primes can ramify and decompose in $k(\mu_{p^m}) \mid k$?

Published on 26 Mar 2026 - 23:11

score 212 · Answer 12 · 2014-03-26 18:07:54

212

Views

Finding a primitive element for the Hilbert Class Field of $\mathbb{Q}(\sqrt{-14})$

Published on 26 Mar 2014 - 18:07

score 114 · Answer 13 · 2026-03-29 22:29:58

114

Views

Relation between divisibility of polynomials in different rings, $h | f$ in $\mathbb{Z}[x], \mathbb{Z}/p^k\mathbb{Z}[x]$ and $\mathbb{F}_p[x]$

Published on 29 Mar 2026 - 22:29

score 296 · Answer 14 · 2026-04-02 01:23:18

296

Views

Intuition about structures in Galois Theory.

Published on 02 Apr 2026 - 1:23

score 288 · Answer 15 · 2026-03-27 18:09:35

288

Views

The reducibility of polynomial $x^{2^n}+x+1$ over $Z_2$

Published on 27 Mar 2026 - 18:09

List Question

The degree of an irreducible polynomial divides an integer n.

to find primitive roots of a galois field

Factorization Patterns for Ideals

Determine the fixed field of a subgroup of $S_3$ and check the Galois correspondence

Square of normal covering splits

Dummit and Foote on Galois and Representation Theory?

Galois group of intermediate fields

Can't find intermediate subfield of these cyclotomic extensions!

Showing that $\mathbb{Q}(\zeta_p, \sqrt[p]{\ell}) = \mathbb{Q}(\zeta_p + \sqrt[p]{\ell})$ for $p,\ell$ primes.

How do we explain the existence of complex conjugation?

What primes can ramify and decompose in $k(\mu_{p^m}) \mid k$?

Finding a primitive element for the Hilbert Class Field of $\mathbb{Q}(\sqrt{-14})$

Relation between divisibility of polynomials in different rings, $h | f$ in $\mathbb{Z}[x], \mathbb{Z}/p^k\mathbb{Z}[x]$ and $\mathbb{F}_p[x]$

Intuition about structures in Galois Theory.

The reducibility of polynomial $x^{2^n}+x+1$ over $Z_2$

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