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A class of ideals of the centre of a group ring
Published online by Cambridge University Press: 09 April 2009
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).
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- Copyright © Australian Mathematical Society 1982
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