A negative answer to a question of Aschbacher
Group Theory
2018-08-09 v2
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.
Cite
@article{arxiv.1804.05648,
title = {A negative answer to a question of Aschbacher},
author = {Robert A. Wilson},
journal= {arXiv preprint arXiv:1804.05648},
year = {2018}
}
Comments
8 pages. Greatly expanded version of the original 2-page note