烟台大学学报（自然科学与工程版）2025，Vol.38Issue(1)：14-16,3.DOI:10.13951/j.cnki.37-1213/n.231204
关于Burnside定理的推广的一个注记
Note on Generalization of a Theorem of Burnside
摘要
Abstract
To investigate the influence of the normal properties of non-cyclic p-subgroups on the structure of finite groups,we present a complete classification of non-cyclic p-groups that have exactly one non-cyclic maximal sub-group,achieved by analyzing the structure of groups.Our study corrects the proof in the related theorem and im-proves upon the related theorem by applying our obtained result.关键词
Burnside定理/非循环p-子群/循环极大子群/p-幂零Key words
a theorem of Burnside/non-cyclic p-subgroup/cyclic maximal subgroup/p-nilpotent分类
数学引用本文复制引用
单梦娇,史江涛,徐凡杰..关于Burnside定理的推广的一个注记[J].烟台大学学报（自然科学与工程版）,2025,38(1):14-16,3.基金项目
国家自然科学基金资助项目(11761079) （11761079）
山东省自然科学基金资助项目(ZR2017MA022). （ZR2017MA022）
