Hales, Alfred W. ; Passi, Inder Bir S. ; Wilson, Lawrence E. (2007) The multiplicative Jordan decomposition in group rings. II Journal of Algebra, 316 (1). pp. 109-132. ISSN 0021-8693
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jalgebra.2007.07.009
Abstract
We classify the finite 2-groups Z[G] whose integral group rings have the multiplicative Jordan decomposition property. In addition to those cases already known, these include three further cases of order thirty-two and no others. We also give a theorem which severely restricts the structure of those finite groups Z[G] with having this property which are not of order 2a3b for some a,b.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Integral Group Ring; Unit Group; Semisimple Element; Unipotent Element; Jordan Decomposition; Wedderburn Decomposition; 2-group |
| ID Code: | 56786 |
| Deposited On: | 25 Aug 2011 10:05 |
| Last Modified: | 25 Aug 2011 10:05 |
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