1. On the structure of the augmentation quotient group for some nonabelian 2-groups
- Creator:
- Nan, Jizhu and Zhao, Huifang
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- integral group ring, augmentation ideal, augmentation quotient group, finite 2-group, and semidihedral group
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public