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Alejandro Tolcachier's user avatar
Alejandro Tolcachier's user avatar
Alejandro Tolcachier's user avatar
Alejandro Tolcachier
  • Member for 5 years, 6 months
  • Last seen this week
9 votes
0 answers
126 views

Isomorphism of $\mathbb{Z}\ltimes_A \mathbb{Z}^m$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^m$

5 votes
1 answer
335 views

Conditions on the characteristic polynomial of a matrix with sines and cosines to has integer coefficients

5 votes
0 answers
141 views

Deciding if $\mathbb{Z}\ltimes_A \mathbb{Z}^5$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^5$ are isomorphic or not

4 votes
2 answers
118 views

Does the short exact sequence $0\mapsto \mathbb{Z}^k\mapsto \Gamma\mapsto \mathbb{Z}^\ell\mapsto 0$ split?

4 votes
0 answers
41 views

Prove (or disprove) that two pairs of matrices generating the same subgroup give rise to isomorphic groups

3 votes
1 answer
58 views

Non-cyclic Finite abelian group generated by 2 elements

2 votes
1 answer
287 views

Create a block diagonal matrix with different sizes of blocks in GAP

2 votes
1 answer
99 views

Conjugating simultaneously two matrices to an integer matrix

2 votes
1 answer
776 views

Torus $\mathbb{R}^n/\mathbb{Z}^n$ is Hausdorff, a proof verification.

2 votes
1 answer
186 views

An entire function with a bound on its integral is constant

2 votes
1 answer
308 views

$S$ subring of $R$ implies $\mathrm{rank}_R M\leq \mathrm{rank}_S M$?

2 votes
0 answers
328 views

Describe all $R$-modules of low order (up to isomorphism) [duplicate]

2 votes
1 answer
191 views

$0\to M\to N\to P\to 0$, $M,N$ finitely-presented then $P$ is finitely-presented

2 votes
1 answer
72 views

Given a submersion $\pi:M\to N$ and a curve $\alpha:(-\varepsilon,\varepsilon)\to N$, find $\gamma:(-\varepsilon,\varepsilon)\to M$

1 vote
1 answer
208 views

In a non-commutative ring (possibly without identity) with no nontrivial automorphisms, do nilpotent elements form an ideal?

1 vote
0 answers
78 views

For $f\in \mathrm{End}_{\mathrm{End}_R (M)}(M)$ and $\{x_1,\ldots,x_n\}\subset M$ exists $r\in R$ such that $f(x_i)=r\cdot x_i, \, i=1,\ldots, n$.

1 vote
1 answer
369 views

Quotient ring $\mathbb{Z}[x]/(2x)$ [duplicate]

1 vote
1 answer
77 views

Map explicitly a simply connected region with at least two boundary points to unit disk

1 vote
0 answers
47 views

Sum of all subsets of the set of even coprime integers relative to a power of a prime

1 vote
1 answer
155 views

On the existence of solutions to two integer quadratic equations of the same "parity"

1 vote
0 answers
120 views

Definition and properties of "real weighted projective spaces"

1 vote
1 answer
36 views

Lifting a homeomorphism $X/G\to X/H$ preserving generators

1 vote
0 answers
43 views

Curvature of the Levi-Civita connection in a Lie algebra with Maple

0 votes
2 answers
74 views

Row reduction and generating sets of a finite abelian group

0 votes
0 answers
61 views

Non-degenerate pairing in the context of holomorphic vector bundles

0 votes
1 answer
70 views

Finding an explicit matrix to conjugate an integer $2\times 2$ matrix of order 4

0 votes
1 answer
162 views

Abelianization of $\mathbb{Z}\ltimes_\varphi \mathbb{Z}^n$

0 votes
4 answers
169 views

Is $x^2+y^2+z^2-xy-xz-yz$ reducible in $\mathbb{C}[x,y,z]$?

0 votes
1 answer
146 views

$\Gamma(z)\Gamma(1-z)=\pi \csc \pi z$. Justify the correct manipulate of products

0 votes
1 answer
148 views

Multiplication of meromorphic functions