2 problems

Let $p>3$ be a prime, and consider right Bol loops of order $3p$, with two such loops identified when they are isotopic. Enumeration claim. The number of right Bol loops of order…

Nonexistence conjecture. For an arbitrary $n$ with $n\geq n_0$, where $n_0$ is sufficiently large, the isotopy of Theorem 1 is not valid, even without the additional requirements t…