Question

irreducible polynomial of $\alpha$ over $\mathbb{Q}$ and $[\mathbb{Q}(\alpha):\mathbb{Q}]$.

score 75 · Answer 1 · 2026-04-16 15:08:42

75

Views

irreducible polynomial of $\alpha$ over $\mathbb{Q}$ and $[\mathbb{Q}(\alpha):\mathbb{Q}]$.

Published on 16 Apr 2026 - 15:08

score 870 · Answer 2 · 2026-04-14 08:27:25

870

Views

Modulo factoring of cyclotomic polynomials

Published on 14 Apr 2026 - 8:27

score 1.2k · Answer 3 · 2026-04-12 09:37:58

1.2k

Views

Cyclotomic polynomials have integer coefficients

Published on 12 Apr 2026 - 9:37

score 2.3k · Answer 4 · 2026-05-10 18:43:43

2.3k

Views

Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$

Published on 10 May 2026 - 18:43

score 273 · Answer 5 · 2026-04-13 19:32:06

273

Views

Roots of Unity: Sums, Products, and Field Extensions

Published on 13 Apr 2026 - 19:32

score 88 · Answer 6 · 2026-04-14 13:51:34

88

Views

Isomorphism betwixt a Galois Group and the set of $n$th roots of unity

Published on 14 Apr 2026 - 13:51

score 154 · Answer 7 · 2026-04-11 19:01:36

154

Views

Is is true that $\zeta$ has finite order?

Published on 11 Apr 2026 - 19:01

score 429 · Answer 8 · 2026-04-15 07:15:46

429

Views

Roots of unity in a residue field of a Cyclotomic extension

Published on 15 Apr 2026 - 7:15

score 165 · Answer 9 · 2026-04-14 01:03:38

165

Views

Nontrival Subgroups of Cyclotomic Fields

Published on 14 Apr 2026 - 1:03

score 261 · Answer 10 · 2026-04-10 22:29:06

261

Views

Cyclotomic polynomial in $\mathbb{Z}/(p)$

Published on 10 Apr 2026 - 22:29

score 102 · Answer 11 · 2026-04-11 02:33:08

102

Views

Why are two statements about a polynomial equivalent?

Published on 11 Apr 2026 - 2:33

score 67 · Answer 12 · 2026-04-11 11:12:51

67

Views

Lemma about a prime ideal in a commutative ring with identity

Published on 11 Apr 2026 - 11:12

score 725 · Answer 13 · 2026-04-16 10:58:20

725

Views

Finite-order elements of $\text{GL}_4(\mathbb{Q})$

Published on 16 Apr 2026 - 10:58

score 489 · Answer 14 · 2026-04-13 22:51:15

489

Views

Show that $\mathbb{Q}(\zeta)$ contains one of the two numbers $\sqrt{\pm5}$ and decide which one is contained in $\mathbb{Q}(\zeta)$.

Published on 13 Apr 2026 - 22:51

score 203 · Answer 15 · 2026-04-14 03:26:20

203

Views

$\zeta$ primitive $n$th root of unity, help showing that $\sqrt{n},\sqrt{-n}\in \mathbb{Q}(\zeta)$ under some conditions.

Published on 14 Apr 2026 - 3:26

List Question

irreducible polynomial of $\alpha$ over $\mathbb{Q}$ and $[\mathbb{Q}(\alpha):\mathbb{Q}]$.

Modulo factoring of cyclotomic polynomials

Cyclotomic polynomials have integer coefficients

Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$

Roots of Unity: Sums, Products, and Field Extensions

Isomorphism betwixt a Galois Group and the set of $n$th roots of unity

Is is true that $\zeta$ has finite order?

Roots of unity in a residue field of a Cyclotomic extension

Nontrival Subgroups of Cyclotomic Fields

Cyclotomic polynomial in $\mathbb{Z}/(p)$

Why are two statements about a polynomial equivalent?

Lemma about a prime ideal in a commutative ring with identity

Finite-order elements of $\text{GL}_4(\mathbb{Q})$

Show that $\mathbb{Q}(\zeta)$ contains one of the two numbers $\sqrt{\pm5}$ and decide which one is contained in $\mathbb{Q}(\zeta)$.

$\zeta$ primitive $n$th root of unity, help showing that $\sqrt{n},\sqrt{-n}\in \mathbb{Q}(\zeta)$ under some conditions.

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