中北大学学报（自然科学版）2017，Vol.38Issue(1)：24-26,3.DOI:10.3969/j.issn.1673-3193.2017.01.005
极小子群拟中心的有限群
Finite Groups of Quasicentral Minimal Subgroups
摘要
Abstract
With minimal order counter example and the structure of inner nilpotent subgroups,the finite groups were characterized in which the subgroups of order p of 2-maximal subgroups and 3-maximal sub-groups and cyclic subgroups of order 4 of finite groups G were quasicentral and whose subgroups of order p and cyclic subgroups of order 4 of maximal subgroups were quasicentral in the maximal subgroups. Then,using the conclusion,the p-nilpotency of some finite groups can be solved.关键词
拟中心子群/p阶子群/p-幂零群/内幂零群Key words
quasicentral subgroups/subgroups of order p/p-nilpotent groups/inner nilpotent sub-groups分类
数理科学引用本文复制引用
高建玲,曹建基..极小子群拟中心的有限群[J].中北大学学报（自然科学版）,2017,38(1):24-26,3.基金项目
山西大同大学青年基金资助项目(2009Q14) （2009Q14）
山西大同大学博士科研启动经费(2014-B-08) （2014-B-08）
