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

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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) = Δn(G)/Δn+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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Jizhu Nan & Huifang Zhao

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  1. Jizhu Nan
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  2. Huifang Zhao
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Correspondence to Jizhu Nan.

Additional information

Supported by the National Natural Science Foundation of China (grant no. 10771023).

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Nan, J., Zhao, H. On the structure of the augmentation quotient group for some nonabelian 2-groups. Czech Math J 62, 279–292 (2012). https://doi.org/10.1007/s10587-012-0013-x

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  • DOI: https://doi.org/10.1007/s10587-012-0013-x

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