Year: 2017
Author: Huifang Zhao, Jizhu Nan
Communications in Mathematical Research , Vol. 33 (2017), Iss. 4 : pp. 289–303
Abstract
In this paper, we study the basis of augmentation ideals and the quotient groups of finite non-abelian $p$-group which has a cyclic subgroup of index $p$, where $p$ is an odd prime, and $k$ is greater than or equal to 3. A concrete basis for the augmentation ideal is obtained and then the structure of its quotient groups can be determined.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.04.01
Communications in Mathematical Research , Vol. 33 (2017), Iss. 4 : pp. 289–303
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: integral group ring augmentation ideal quotient group $p$-group