有限群超可解性的新刻画  

New criteria of supersolubility of finite groups

作　　者：杨雪利 曹陈辰 张驰 Xueli Yang;Chenchen Cao;Chi Zhang(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China;Department of Mathematics,China University of Mining and Technology,Xuzhou 221116,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211 [2]中国矿业大学数学学院,江苏徐州221116

出　　处：《中国科学技术大学学报》2023年第5期35-38,I0005,I0009,共6页JUSTC

基　　金：supported by the National Natural Science Foundation of China (12101339, 12001526);Natural Science Foundation of Jiangsu Province, China (BK20200626)。

摘　　要：研究了-嵌入子群对有限群结构的影响。特别地,得到了有限群超可解性的一些新刻画,发展和推广了许多已知结论。We study the structure of finite groups in which some given subgroups are-embedded.In particular,we obtain some new criteria for the supersolubility of finite groups,which generalize some known results.

关 键 词：有限群 P-幂零群 超可解群 σ-置换子群 σ-嵌入子群 

分 类 号：O152.1[理学—数学]