Question

Finding the fixed subfield of an automorphism subgroup of $k(x)$.

score 645 · Answer 1 · 2026-04-09 13:38:23

645

Views

Finding the fixed subfield of an automorphism subgroup of $k(x)$.

Published on 09 Apr 2026 - 13:38

score 49 · Answer 2 · 2026-04-16 23:13:44

49

Views

Computing the subgroups of $\mathbb{Z}_n^*$.

Published on 16 Apr 2026 - 23:13

score 51 · Answer 3 · 2026-04-08 18:46:31

51

Views

Let $u$ be transcendental over $\mathbb{Z}_p$. Why is $t^p-u$ irreducible over $\mathbb{Z}_p(u)$?

Published on 08 Apr 2026 - 18:46

score 43 · Answer 4 · 2026-04-15 12:40:27

To show that the real numbers $a+b\alpha+c\alpha^2$ with $a,b,c$ in $\mathbb{Q}$ form a field. (where $\alpha$ is the real cube root of 2)

score 252 · Answer 5 · 2026-04-14 14:50:24

252

Views

Commutative ring instead of field: proof that the group of $n\times n$ unitriangular matrices is solvable

Published on 14 Apr 2026 - 14:50

score 55 · Answer 6 · 2026-04-13 06:21:35

55

Views

Asking for confirmation on my understanding of Galois theory

Published on 13 Apr 2026 - 6:21

score 952 · Answer 7 · 2026-03-26 06:34:27

952

Views

Formal power series are a euclidean ring

Published on 26 Mar 2026 - 6:34

score 202 · Answer 8 · 2026-04-09 10:15:50

202

Views

Is the polynomial ring of elementary symmetric polynomials involving n variables over a field is integrally closed?

Published on 09 Apr 2026 - 10:15

score 43 · Answer 9 · 2026-04-09 10:15:52

43

Views

On the "largest ring extension" of a Noetherian domain inside fraction field that is module finite

Published on 09 Apr 2026 - 10:15

score 534 · Answer 10 · 2026-04-14 11:25:29

534

Views

$\mathbb{C}$ is the smallest algebraically closed field containing $\mathbb{R}$

Published on 14 Apr 2026 - 11:25

score 65 · Answer 11 · 2026-04-13 18:20:41

65

Views

Is the direct product $k \times k$ a field?

Published on 13 Apr 2026 - 18:20

score 33 · Answer 12 · 2026-04-16 02:16:46

33

Views

Number of elements in $ \{(x,y)\in \Bbb F_q^2:y^p+y=x^{p+1} \} $ where $p>2$ is a prime and $q=p^2$

Published on 16 Apr 2026 - 2:16

score 41 · Answer 13 · 2026-04-17 15:54:12

41

Views

Pairs $(a,b)\in F^2$ such that $a^6+b^6=1$ where $F$ is a finite field of 25 elements

Published on 17 Apr 2026 - 15:54

score 46 · Answer 14 · 2026-04-15 07:04:15

46

Views

How to show $\operatorname{Gal}(\Bbb F_2(\alpha)/\Bbb F_2)$ = {$e, \sigma, \sigma^2$}

Published on 15 Apr 2026 - 7:04

score 96 · Answer 15 · 2026-03-25 01:27:26

96

Views

Understanding the group of divisors of a function field and when two extensions of function fields isomorphic

Published on 25 Mar 2026 - 1:27

List Question

Finding the fixed subfield of an automorphism subgroup of $k(x)$.

Computing the subgroups of $\mathbb{Z}_n^*$.

Let $u$ be transcendental over $\mathbb{Z}_p$. Why is $t^p-u$ irreducible over $\mathbb{Z}_p(u)$?

To show that the real numbers $a+b\alpha+c\alpha^2$ with $a,b,c$ in $\mathbb{Q}$ form a field. (where $\alpha$ is the real cube root of 2)

Commutative ring instead of field: proof that the group of $n\times n$ unitriangular matrices is solvable

Asking for confirmation on my understanding of Galois theory

Formal power series are a euclidean ring

Is the polynomial ring of elementary symmetric polynomials involving n variables over a field is integrally closed?

On the "largest ring extension" of a Noetherian domain inside fraction field that is module finite

$\mathbb{C}$ is the smallest algebraically closed field containing $\mathbb{R}$

Is the direct product $k \times k$ a field?

Number of elements in $ \{(x,y)\in \Bbb F_q^2:y^p+y=x^{p+1} \} $ where $p>2$ is a prime and $q=p^2$

Pairs $(a,b)\in F^2$ such that $a^6+b^6=1$ where $F$ is a finite field of 25 elements

How to show $\operatorname{Gal}(\Bbb F_2(\alpha)/\Bbb F_2)$ = {$e, \sigma, \sigma^2$}

Understanding the group of divisors of a function field and when two extensions of function fields isomorphic

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