## All Questions

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### Growth of Thompson’s group $F$

What is it known about the minimal growth rate of the Thompson's group $F$? Is there an easy lower bound? Is there a generating set growing slower than the standard one?
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### Integer lattice points on a hypersphere

Is the following statement true? For every integer $n\ge2$ and every integer $k\ge0$ there exists a hypersphere in $\mathbb{R}^n$ (circle, sphere etc) containing exactly $k$ i …
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### What is the Bahadur-Anderson Algorithm?

What is the Bahadur-Anderson Algorithm, and which book could one read to learn it?
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### Avoiding reflexive paradox in set theory

I am an amateur mathematician, and certainly not a set theorist, but there seems to me to be an easy way around the reflexive paradox: Add to set theory the primitive $A(x,y)$, whi …
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### $P^1$ minus k points

For $k\geq 3$, and $k$ arbitrary points $S=( z_1,\cdots,z_k ) \in \mathbb{P}^1$, we can write $$P^1 \setminus S \cong \mathbb{H}/G$$ where $\mathbb{H}$ is the upper-half plane …
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### General Orthogonal Group and its properties

I know that exist a Lie Group Called the Orthogonal Group $O(n)$. That correspond to all matrix of $n \times n$ in the real numbers such that the columns are a orthogonal basis for …
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### Solution of Equation [closed]

Can anyone show me, how to solve these system of Equations: x+y+z = 2 (x+y)(y+z)+(y+z)(z+x)+(z+x)(x+y) = 1 X^2(y+z)+Y^2(z+x)+Z^2(x+y) = -6