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Volume 33, Issue 1
Multiplicative Jordan Decomposition in Integral Group Ring of Group $K_8\times C_5$

Xiulan Wang & Qingxia Zhou

DOI: 10.13447/j.1674-5647.2017.01.07

Commun. Math. Res., 33 (2017), pp. 64-72.

Published online: 2019-12

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  • 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". 

  • Keywords

integral group ring, Jordan decomposition, semisimple element, nilpotent element

  • AMS Subject Headings

16U60, 20C05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lanxiu0614@163.com (Xiulan Wang)

  • BibTex
  • RIS
  • TXT
@Article{CMR-33-64, author = {Wang , Xiulan and Zhou , Qingxia}, title = {Multiplicative Jordan Decomposition in Integral Group Ring of Group $K_8\times C_5$}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {1}, pages = {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". 

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.01.07}, url = {http://global-sci.org/intro/article_detail/cmr/13446.html} }
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 -

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". 

Xiu-lan Wang & Qing-xia Zhou. (2019). Multiplicative Jordan Decomposition in Integral Group Ring of Group $K_8\times C_5$. Communications in Mathematical Research . 33 (1). 64-72. doi:10.13447/j.1674-5647.2017.01.07
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