Czechoslovak Mathematical Journal

, Volume 62, Issue 1, pp 279–292 | Cite as

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



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.


integral group ring augmentation ideal augmentation quotient groups finite 2-group semidihedral group 

MSC 2010

16S34 20C05 


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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2012

Authors and Affiliations

  1. 1.School of Mathematical SciencesDalian University of TechnologyDalianPeople’s Republic of China

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