On the Structure of the Augmentation Quotient Group for Some Non-abelian p-groups |
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| Institution: | 1. Police Technology Department, Railway Police College, Zhengzhou, 450053;2. School of Mathematical Sciences, Dalian University of Technology, Dalian,Liaoning, 116024 |
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| Abstract: | In this paper,we study the basis of augmentation ideals and the quotient groups of finite non-abelian p-group which has a cyclic subgroup of index p,where p is an odd prime,and k is greater than or equal to 3.A concrete basis for the augmentation ideal is obtained and then the structure of its quotient groups can be determined. |
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| Keywords: | integral group ring augmentation ideal quotient group p-group |
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