Question

If $w\in\mathbb{Q}(a,b)$, determine $w$ such that $\mathbb{Q}(w)=\mathbb{Q}(a,b)$ with $a,b\in\mathbb{R}$ and are algebraic over $\mathbb{Q}$

score 58 · Answer 1 · 2026-04-16 11:53:24

58

Views

If $w\in\mathbb{Q}(a,b)$, determine $w$ such that $\mathbb{Q}(w)=\mathbb{Q}(a,b)$ with $a,b\in\mathbb{R}$ and are algebraic over $\mathbb{Q}$

Published on 16 Apr 2026 - 11:53

score 132 · Answer 2 · 2026-04-12 21:33:11

132

Views

What is the difference between $X^g$ and $\mathrm{Stab}(x)$ in Burnside's Lemma

Published on 12 Apr 2026 - 21:33

score 59 · Answer 3 · 2026-04-16 21:03:54

59

Views

Simple compact special unitary Lie group and dihedral group

Published on 16 Apr 2026 - 21:03

score 59 · Answer 4 · 2026-04-17 08:55:12

59

Views

Normal form of elements of $\mathbb{F}_{25}$?

Published on 17 Apr 2026 - 8:55

score 27 · Answer 5 · 2026-04-13 01:01:21

27

Views

Simple compact special unitary Lie group and dicyclic group Dic$_{k}$=Q$_{4k}$

Published on 13 Apr 2026 - 1:01

score 147 · Answer 6 · 2026-04-17 10:18:52

147

Views

Prove that $\forall n \geq 1$ there exists a field containing $n$ subfields

Published on 17 Apr 2026 - 10:18

score 454 · Answer 7 · 2026-04-17 11:10:55

454

Views

For a group $G$ such that $|G| = p^3$, for $p$ prime, either $|Z(G)| = p$ or $G$ is abelian.

Published on 17 Apr 2026 - 11:10

score 71 · Answer 8 · 2026-04-17 05:32:20

71

Views

Ring Homomorphism Integer to Vectors

Published on 17 Apr 2026 - 5:32

score 196 · Answer 9 · 2026-04-13 04:29:08

196

Views

Confused about part of Milne's notes on the Galois theory of étale algebras over a field

Published on 13 Apr 2026 - 4:29

score 69 · Answer 10 · 2026-04-16 07:12:31

69

Views

Number of left and right zero divisors and nilpotents

Published on 16 Apr 2026 - 7:12

score 138 · Answer 11 · 2026-04-16 22:28:05

Let $F$ be splitting Field of $x^3 -7 \in \mathbb{Q} [x]$ and let $G$ be the splitting field of $ (x^3-7) (x^2-3) \in \mathbb{Q}[x]$

score 512 · Answer 12 · 2026-04-16 01:28:42

512

Views

Cauchy sequence $(1/n)$ and lack of multiplicative inverse

Published on 16 Apr 2026 - 1:28

score 596 · Answer 13 · 2026-04-10 14:48:47

596

Views

Cardinality Relation between a group and its subgroups

Published on 10 Apr 2026 - 14:48

score 1.1k · Answer 14 · 2026-04-11 07:24:55

1.1k

Views

Ring of Witt vectors over finite fields

Published on 11 Apr 2026 - 7:24

score 40 · Answer 15 · 2026-04-12 18:53:23

40

Views

Irreducibility Prime Numbers Field Theory

Published on 12 Apr 2026 - 18:53

List Question

If $w\in\mathbb{Q}(a,b)$, determine $w$ such that $\mathbb{Q}(w)=\mathbb{Q}(a,b)$ with $a,b\in\mathbb{R}$ and are algebraic over $\mathbb{Q}$

What is the difference between $X^g$ and $\mathrm{Stab}(x)$ in Burnside's Lemma

Simple compact special unitary Lie group and dihedral group

Normal form of elements of $\mathbb{F}_{25}$?

Simple compact special unitary Lie group and dicyclic group Dic$_{k}$=Q$_{4k}$

Prove that $\forall n \geq 1$ there exists a field containing $n$ subfields

For a group $G$ such that $|G| = p^3$, for $p$ prime, either $|Z(G)| = p$ or $G$ is abelian.

Ring Homomorphism Integer to Vectors

Confused about part of Milne's notes on the Galois theory of étale algebras over a field

Number of left and right zero divisors and nilpotents

Let $F$ be splitting Field of $x^3 -7 \in \mathbb{Q} [x]$ and let $G$ be the splitting field of $ (x^3-7) (x^2-3) \in \mathbb{Q}[x]$

Cauchy sequence $(1/n)$ and lack of multiplicative inverse

Cardinality Relation between a group and its subgroups

Ring of Witt vectors over finite fields

Irreducibility Prime Numbers Field Theory

Trending Questions

Popular # Hahtags

Popular Questions