TY - JOUR
T1 - Multiplicative Jordan Decomposition in Integral Group Ring of Group $K_8\times C_5$
AU - Wang , Xiulan
AU - Zhou , Qingxia
JO - Communications in Mathematical Research 
VL - 1
SP - 64
EP - 72
PY - 2019
DA - 2019/12
SN - 33
DO - http://doi.org/10.13447/j.1674-5647.2017.01.07
UR - https://global-sci.org/intro/article_detail/cmr/13446.html
KW - integral group ring, Jordan decomposition, semisimple element, nilpotent element
AB - <p style="text-align: justify;">In this article, we present the multiplicative Jordan decomposition in integral group ring of group $K_8\times C_5$, where $K_8$ is the quaternion group of order 8. Thus, we give a positive answer to the question raised by Hales A W, Passi I B S and Wilson L E in the paper &quot;The multiplicative Jordan decomposition in group rings II. J. Algebra, 2007, 316: 109–132&quot;.&nbsp;</p>