摘要
运用极小反例来确定群的阶和它的Sylow 7-子群的阶,利用初等方法证明了不存在恰有15个Sylow 7-子群的有限群.
In this paper,we use minimal counterexamples to determine the order of the group and its Sylow 7-subgroups,by elementary methods,prove that there exists no finite group with exactly 15 Sylow 7-subgroups.
作者
钟凌锋
周伟
ZHONG Ling-feng;ZHOU Wei(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2020年第4期9-12,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11671324).
