Year: 2017
Author: Xiulan Wang, Qingxia Zhou
Communications in Mathematical Research , Vol. 33 (2017), Iss. 1 : pp. 64–72
Abstract
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 "The multiplicative Jordan decomposition in group rings II. J. Algebra, 2007, 316: 109–132".
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.01.07
Communications in Mathematical Research , Vol. 33 (2017), Iss. 1 : pp. 64–72
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: integral group ring Jordan decomposition semisimple element nilpotent element