A negative answer to a question of Aschbacher
arXiv:1804.05648
Abstract
We give infinitely many examples to show that even for simple groups it is possible for the lattice of overgroups of a subgroup to be the Boolean lattice of rank , in such a way that the two maximal overgroups of are conjugate in . This answers negatively a question posed by Aschbacher.
8 pages. Greatly expanded version of the original 2-page note