TY - JOUR
T1 - On the Structure of the Augmentation Quotient Group for Some Non-Abelian $p$-Groups
AU - Zhao , Huifang
AU - Nan , Jizhu
JO - Communications in Mathematical Research 
VL - 4
SP - 289
EP - 303
PY - 2019
DA - 2019/11
SN - 33
DO - http://doi.org/10.13447/j.1674-5647.2017.04.01
UR - https://global-sci.org/intro/article_detail/cmr/13389.html
KW - integral group ring, augmentation ideal, quotient group, $p$-group
AB - <p style="text-align: justify;">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.&nbsp;</p>