关于超可解群与Sylow塔  

On Supersolvable Group and Sylow Tower

作　　者：曾利江[1] ZENG Lijiang(Northern Guizhou Institute of Culture and Economy,Zunyi Normal Wniversity,Zunyi 563000,Guizhou,China)

机构地区：[1]遵义师范学院黔北文化与经济研究院,贵州遵义563000

出　　处：《安顺学院学报》2020年第4期118-120,共3页Journal of Anshun University

摘　　要：首先证明了超可解群的几个性质,然后引入Sylow塔的概念,并用超可解群的性质证明了超可解群必有Sylow塔,最后以实例说明了具有Sylow塔的群可能不是超可解群。In our paper,we proved several properties of supersolvable group first.Then,we introduced the new concept of Sylow tower and proved that supersolvable group must have Sylow tower in the properties of supersolvable group.Finally,we have explained that group with Sylow tower perhaps be not supersolvable group in concrete example.

关 键 词：超可解群 SYLOW塔 特征子群 极小正规子群 

分 类 号：O152[理学—数学]