p-超可解融合系 申振才

7Р申振才等: p- 超可解融合系РРp-supersolvable fusion systemsРРZhencai Shen & Jiping ZhangРAbstract In this paper, we consider finite groups. Let p be a prime and S be a p-group. Let F be a saturatedРfusion system over S. We first define p-supersolvable fusion systems. Then we prove that the models of p-Рsupersolvable fusion systems are p-supersolvable groups and give the p-supersolvablity of normal subsystems andРfactors of a p-supersolvable fusion system. Last, we give the criterion of p-supersolvable fusion systems.РРKeywords fusion system, normal subgroup, solvable fusion system, p-supersolvable fusion systemРMSC(2020) 20D15, 20C20, 20E45Рdoi: 10.1360/SSM-2019-0320РРР8