Geodesic
On the structure of the augmentation quotient group for some nonabelian 2-groups
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 279-292
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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.
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.
DOI : 10.1007/s10587-012-0013-x
Classification : 16S34, 20C05
Keywords: integral group ring; augmentation ideal; augmentation quotient groups; finite 2-group; semidihedral group 
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Nan, Jizhu; Zhao, Huifang. On the structure of the augmentation quotient group for some nonabelian 2-groups. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 279-292. doi: 10.1007/s10587-012-0013-x

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