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关于P~S—正则群
引用本文:刘保相.关于P~S—正则群[J].河北大学学报(自然科学版),1993(1).
作者姓名:刘保相
作者单位:唐山工程技术学院
摘    要:本文研究了有限P群的P~s—正则性,给出了有限P群成为P~s—正则群的两个充分条件。对于P~s—正则群进一步讨论了它具有的幂结构。可得结果表明:对于任一自然数S,P~s—正则群具有与正则P群类似的幂结构

关 键 词:P~s—正则群  极小非P~s—正则群  幂结构

On P~s-Regular Groups
Liu Baoxiang.On P~s-Regular Groups[J].Journal of Hebei University (Natural Science Edition),1993(1).
Authors:Liu Baoxiang
Institution:Tangshan Institute of Technology
Abstract:The Ps-regularity of the finite P-groups is studied in this paper.Two sufficient conditions are given for a finite P-group becoming ps-regular group.The power structure of the Ps-regular proups has been further discussed. It is proved that for any natural number S, the Ps-regular group has a similar structure to the regular P-group.
Keywords:Ps-regular groups Minimum Ps-irregular groups Power structure
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