On the structure of the augmentation quotient group for some nonabelian 2-groups
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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.
Keywordsintegral group ring augmentation ideal augmentation quotient groups finite 2-group semidihedral group
MSC 201016S34 20C05
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- Q. Zhou, H. You: On the structure of augmentation quotient groups for generalized quaternion group. Algebra Colloq. To appear.Google Scholar