Key points are not available for this paper at this time.
In this paper, we determine the finite groups with a Sylow r-subgroup contained in a unique maximal subgroup. The proof involves a reduction to almost simple groups, and our main theorem extends earlier work of Aschbacher in the special case r=2. Several applications are presented. This includes some new results on weakly subnormal subgroups of finite groups, which can be used to study variations of the Baer-Suzuki theorem.
Baumeister et al. (Tue,) studied this question.