Multiplicative Jordan Decomposition in Integral Group Ring of Group K8 × C5

Multiplicative Jordan Decomposition in Integral Group Ring of Group K8 × C5

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...

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Veröffentlicht in:数学研究通讯：英文版 2017, Vol.33 (1), p.64-72
Hauptverfasser: Wang Xiu-lan, Zhou Qing-xia
Format: Artikel
Sprache:eng
Schlagworte:
decomposition
semisimple
element
element
nilpotent
group
integral
ring
Jordan
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Zusammenfassung: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".
ISSN:1674-5647