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c-可补子群对有限群结构的影响
作者单位:;1.信阳师范学院数学与信息科学学院
摘    要:利用子群的c-可补性质,讨论了群的幂零性,得到了有限群成为幂零群的几个充分条件,并推广了一些相关的结果.

关 键 词:c-可补子群  幂零群  有限群

The Influence of c-Supplemented Subgroups on the Structure of Finite Groups
Institution:,College of Mathematics and Information Science,Xinyang Normal University
Abstract:The nilpotenty of finite groups was investigated by using the properties of c-supplemented subgroups.Some sufficient conditions for the finite groups being nilpotent groups were obtained,and some previously known results are generalized.
Keywords:c-supplemented subgroups  nilpotent groups  finite groups
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