On the structure of the augmentation quotient group for some nonabelian 2-groups |
| |
Authors: | Jizhu Nan Huifang Zhao |
| |
Institution: | 1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, People’s Republic of China
|
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|