《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (8): 9-14.doi: 10.6040/j.issn.1671-9352.0.2023.321
高建玲1(
),毛月梅1,*(),曹陈辰2
Jianling GAO1(),Yuemei MAO1,*(),Chenchen CAO2
摘要：
设G为有限群，子群H称为在G中SS-拟正规，若存在B≤G满足G=HB，且对所有p∈π(B)，P∈Sylp(B)，有HP=PH皆成立。借助准素数子群的SS-拟正规性研究有限群结构，利用对|G|的归纳法及极小阶反例法, 给出了p-幂零群若干新的判别准则。
中图分类号:
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