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The Augmentation Quotients of the Groups of Order 25, I |
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| Authors: | Qingxia Zhou Hong You |
| Affiliation: | 1. The Academy of Fundamental Science , Harbin Institute of Technology , Harbin, China zhouqingxia1982@163.com;3. The Academy of Fundamental Science , Harbin Institute of Technology , Harbin, China;4. Department of Mathematics , Suzhou University , Suzhou, China |
| Abstract: | In this article we present the nth power Δ n (G) of the augmentation ideal Δ(G) and describe the structure of Q n (G) = Δ n (G)/Δ n+1(G) for 35 particular groups G of order 25. The structure of Q n (G) for all the remaining groups of order 25 will be determined in a forthcoming article. |
| Keywords: | Augmentation ideal Augmentation quotient group Integral group ring |