Alejandro Bergasa Alonso's user avatar
Alejandro Bergasa Alonso's user avatar
Alejandro Bergasa Alonso's user avatar
Alejandro Bergasa Alonso
  • Member for 4 years, 3 months
  • Last seen more than a week ago
5 votes
1 answer
117 views

Finite group generated by two different order $2$ elements is $\cong$ to $\mathbb{Z}_2^2$ or $D_n$

5 votes
2 answers
158 views

How to prove whether $i\in\mathbb{Q}(\cos\frac{2\pi}{5}+i\sin\frac{2\pi}{5})$ or not

5 votes
1 answer
131 views

Group algebra for quaternion group

4 votes
0 answers
82 views

$H$-comodule structure of $A\otimes_K A$

4 votes
1 answer
98 views

$(X^2+1)(X^4+X^2+X+1)$ factorizes as product of degree $1$ polynomials over $81$ elements field

4 votes
2 answers
358 views

Prove this $\mathbb F_2 (a)$ is splitting field of $X^4+X+1$

4 votes
2 answers
92 views

Help solving $2y'-4y\left(\frac{y''}{y'}\right)=\log\left(\frac{y''}{y'}\right)$

4 votes
1 answer
238 views

Prove that any group $G$ with $|G|=588$ is solvable

3 votes
1 answer
101 views

Evaluate the limit $\lim\sqrt[n]{\frac{1}{n!}\sum(m^m)}$

3 votes
1 answer
345 views

I need to prove that A is Lebesgue-measurable

3 votes
1 answer
320 views

Evaluate the integral $\iint_S(x)dy\wedge dz+(x+y)dz\wedge dx+(x^2+2z)dx\wedge dy$

3 votes
1 answer
136 views

Prove that any group of order $945$ has at least one subgroup of order $9$

3 votes
1 answer
225 views

Find normal closure of $\mathbb Q\left( (1+i)\sqrt[4]{5} \right)/\mathbb Q$

3 votes
1 answer
294 views

Prove $\operatorname{Gal}(EL/E)$ is a Galois extension in this case

3 votes
1 answer
280 views

Is $\mathbb{Q}(\cos\frac{2\pi}{13})/\mathbb{Q}$ a Galois extension?

3 votes
1 answer
114 views

Prove certain integral equals $0$

3 votes
1 answer
76 views

Prove $\theta:S\to E^G$ is $R$-module isomorphism

2 votes
1 answer
34 views

Does $S\subset R$ imply $A\otimes_{R} A \subset A\otimes_{S} A$?

2 votes
2 answers
52 views

Prove $\mathcal M^\perp=\{g\in L^2(0,1) : g=\alpha \text{ a.e.p.}, \alpha\in\mathbb R \}$

2 votes
1 answer
181 views

Prove $\int_{|z|=1}\frac{P_n(z)}{z^{n+1}(z-a)}dz=0$

2 votes
1 answer
145 views

Find isomorphism between $L_1$ and $L_2$ finite fields

2 votes
0 answers
41 views

Compute certain $Aut_{\mathbb Q}(L)$

2 votes
0 answers
43 views

Find $\mathrm{Aut}(\mathbb Q(i,a))$ with $a$ root of $X^3-2$

2 votes
2 answers
75 views

Prove certain $\Sigma$ is a $\sigma$-algebra

2 votes
2 answers
49 views

Chaces of get $b$ points throwing dices of set $D$

2 votes
1 answer
216 views

Images and preimages of groups using group homomorphism

2 votes
1 answer
81 views

Compute, up to isomorphism, all groups of order $21$

2 votes
2 answers
66 views

Find convex closure of certain set

2 votes
1 answer
105 views

Find a gcd of two polynomials from $\mathbb{Z}[i]$

2 votes
0 answers
56 views

Prove certain polynomials are irreducible in $\mathbb{Q}[X]$