3 problems

Generator-number conjecture. The highest possible level of an orbit is $n+1$.

Smoothness conjecture. Orbits of points in Case 4 will consist of a countable number of copies of an interval $I$, the union of a number of subintervals $J_n$, in each of which the…

Let $G$ be a reductive algebraic group with a Chevalley $\mathbb{Z}$-form $G_{\mathbb{Z}}$, and set … Let $(\star)$ be the condition on primes used in the paper, and let $d$ be def…