| Multiplicative Jordan Decomposition in Integral Group Ring of Group K_8×C_5 |
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| 摘 要： | In this article,we present the multiplicative Jordan decomposition in integral group ring of group K8 × C5,where K8 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.
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Multiplicative Jordan Decomp osition in Integral Group Ring of Group K8 ×C5 |
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| Wang Xiu-lan,Zhou Qing-xia. Multiplicative Jordan Decomp osition in Integral Group Ring of Group K8 ×C5[J]. Communications in Mathematical Research, 2017, 33(1). DOI: 10.13447/j.1674-5647.2017.01.07 |
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| Authors: | Wang Xiu-lan Zhou Qing-xia |
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| Affiliation: | 1. College of Basic Science, Tianjin Agricultural University, Tianjin, 300384;2. School of Science, Tianjin University of Technology, Tianjin, 300384 |
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| Abstract: | In this article, we present the multiplicative Jordan decomposition in integral group ring of group K8 × C5, where K8 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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| Keywords: | integral group ring Jordan decomposition semisimple element nilpo-tent element |
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