@Article{CMR-33-289, author = {Zhao , Huifang and Nan , Jizhu}, title = {On the Structure of the Augmentation Quotient Group for Some Non-Abelian $p$-Groups}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {4}, pages = {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. 

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.04.01}, url = {http://global-sci.org/intro/article_detail/cmr/13389.html} }