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arXiv:1804.05648 [math.GR]AbstractReferencesReviewsResources

A negative answer to a question of Aschbacher

Robert A. Wilson

Published 2018-04-16Version 1

We show by several examples that even for simple groups $G$ it is possible for the lattice of overgroups of a subgroup $H$ to be the Boolean lattice of rank $2$, in such a way that the two maximal overgroups of $H$ are conjugate in $G$. This answers negatively a question posed by Aschbacher.

Comments: 2 pages
Categories: math.GR
Subjects: 20E15, 20E28
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