O'Reilly, M.F. (1981) A class of ideals of the centre of a group ring. Journal of the Australian Mathematical Society, Series A, 31 (2). pp. 146-151. ISSN 1446-7887
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Group_ring.pdf 228Kb |
Official URL: http://dx.doi.org/10.1017/S1446788700033425
Abstract
Reynolds (1972), using character-theory, showed that the p-section sums span an ideal of the centre Z(kG) of the group algebra of a finite group G over a field k of characteristic dividing the order of G. In O'Reilly (1973) a character-free proof was given. Here we extend these techniques to show the existence of a wider class of ideals of Z(kG).
| Item Type: | Article |
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| Uncontrolled Keywords: | Mathematics subject classification (Amer.Math.Soc.): 16 A 26; 20 C 05; 20 C 20 |
| Subjects: | Y Unknown > Subjects to be assigned |
| Divisions: | Faculty > Faculty of Science > Mathematics (Pure & Applied) |
| ID Code: | 1422 |
| Deposited By: | INVALID USER |
| Deposited On: | 29 Jul 2009 |
| Last Modified: | 06 Jan 2012 16:20 |
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