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# Article

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Keywords:
integral group ring; augmentation ideal; augmentation quotient groups; finite 2-group; semidihedral group
Summary:
Let \$G\$ be a finite nonabelian group, \${\mathbb Z}G\$ its associated integral group ring, and \$\triangle (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)=\triangle ^{n}(G)/\triangle ^{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.
References:
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