Hilder Vítor Lima Pereira

### Questions (24)

 4 Minimal set of $n\times n$ matrices whose products generate all $n\times n$ matrices with a single $1$ 3 Bijection between $\Bigl\{1, 2, \dots, \frac{N(N+1)}{2}\Bigr\}$ and $\{ (i, j) \in \mathbb{N} : i \le j \le N\}$ 2 Sufficient conditions for a polynomial to have different factorizations over $\mathbb{Q}$ and $\mathbb{Z}_p$ 2 Presentation of $SL_2(p^m)$, for $p$ odd prime 2 On finding an integral basis of $\mathbb{Q}[\sqrt{5}]$

### Reputation (350)

 +5 Product of two discrete uniform distributions +20 Minimal set of $n\times n$ matrices whose products generate all $n\times n$ matrices with a single $1$ +5 Any vector shorter than $\lambda_1^*$ must belong to a sublattice. +5 What is the tensor product $\mathcal{O}_K \otimes_\mathbb{Q} \mathbb{R}$?

 2 Tietze Transformations: $\langle a, b, c\mid b^2, (bc)^2\rangle$ and $\langle x, y, z\mid y^2, z^2\rangle$. 2 Why is the derivative of $x^2$ not $2x+1$? 1 Lattice generated by vectors orthogonal to an integer vector 1 Conditional probability and complement 1 $x^2 + y^2 = 0 \,\,(mod \,p)$ is congruent to $(\frac {x} {y})^2 = - 1 \,\,(mod \,p)$ how?

### Tags (47)

 2 group-presentation × 5 1 probability × 2 2 group-theory × 5 1 linear-algebra × 2 2 derivatives 1 elementary-number-theory × 2 2 calculus 1 algorithms 1 integer-lattices × 3 1 vector-lattices