On the structure of the augmentation quotient group for some nonabelian 2-groups

Title:

On the structure of the augmentation quotient group for some nonabelian 2-groups

Creator:

Nan, Jizhu and Zhao, Huifang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:88ef1468-dbb6-4db4-8831-abf150844354
uuid:88ef1468-dbb6-4db4-8831-abf150844354

Subject:

integral group ring, augmentation ideal, augmentation quotient group, finite 2-group, and semidihedral group

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

279-292

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:1

Harvested from:

CDK

Metadata only:

false