6 problems

Two regular unipotent generation conjecture. Then $G$ is generated by two regular unipotent elements.

Conjugate regular unipotent generation conjecture. If $G\neq PSL_2(q)$ with $q$ even and $G\neq PSL_2(9)$, then $G$ is generated by two regular unipotent elements that can be chose…

Let $G$ be either ${\rm Sp}(V)$ or $\Omega(V)$, let $u$ be the representative in … J={j:bj=2}. … . The centralizer quotient order conjecture. One has … This conjecture specifies th…

Let $\mathbb{F}$ be a field of characteristic different from $2$, let $V$ be a finite-dimensional vector space over $\mathbb{F}$, and let $b$ be a non-degenerate skewsymmetric bili…

Let $G$ be an exceptional group, let $k$ have good characteristic for $G$, and let the two unipotent conjugacy classes under consideration consist of elements whose orders need not…

Regular-unipotent Levi subgroup conjecture. There exists a subgroup $H$ of $Z(g_s)$ which is a Levi subgroup of a parabolic subgroup of $Z(g_s)$ such that $g_u$ is a regular unipot…