Abstract
A subgroup H of a group G is called weakly s-semipermutable in G if G has a subnormal subgroup T and an s-semipermutable subgroup HssG contained in H such that G = HT and . In this paper, we present several new criteria on p-nilpotency of finite groups with a small quantity of weakly s-semipermutable maximal subgroups of Sylow p-subgroups.
Acknowledgments
The authors express their thanks to the referee for his/her useful suggestions.