Finite Groups in Which Every Maximal Subgroup Is Nilpotent or a TI-Subgroup or Has Order p'  

作　　者：Jiangtao Shi 

机构地区：[1]School of Mathematics and Information Sciences,Yantai University Yantai,Shandong 264005,China

出　　处：《Algebra Colloquium》2023年第1期165-168,共4页代数集刊（英文版）

基　　金：supported by Shandong Provincial Natural Science Foundation,Chin(ZR2017MA022 and ZR2020MA044)and NSFC(11761079).

摘　　要：We obtain a complete characterization of the structure of a finite group G in which every maximal subgroup is nilpotent or a TI-subgroup or has order p'for any fixed prime divisor p of|G|.Moreover,we show that there exists at most one prime divisor q of|G|such that G is neither q-nilpotent nor q-closed.

关 键 词：maximal subgroup NILPOTENT TI-subgroup p'-order 

分 类 号：O15[理学—数学]