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On the structure of the augmentation quotient group for some nonabelian 2-groups
Authors:Jizhu Nan  Huifang Zhao
Institution:1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, People’s Republic of China
Abstract:Let G be a finite nonabelian group, ℤG its associated integral group ring, and Δ(G) its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient groups Q n (G) = Δ n (G)/Δ n+1(G) is deal with. An explicit basis for the augmentation ideal is obtained, so that the structure of its quotient groups can be determined.
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