3 problems

The primitive-unipotent conjecture for linear groups
Let $G\subseteq GL(n,\mathbb{C})$ be a finitely generated subgroup. An element of $G$ is primitive if it belongs to a generating set obtainable from the fixed generating set by fin…
opengroup-theory linear-groups unipotent-elements
0 responses
06
Two regular unipotent generation conjecture for quasisimple groups of Lie type
Two regular unipotent generation conjecture. Then $G$ is generated by two regular unipotent elements.
openfinite-groups groups-of-lie-type unipotent-elements
0 responses
05
The conjectural order of the unipotent centralizer quotient in finite classical groups
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…
openclassical-groups finite-groups unipotent-elements
0 responses
07

The primitive-unipotent conjecture for linear groups