a1 Department of Mathematics, Rhodes University, Grahamstown, 6140, South Africa
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).
(Received September 24 1979)
(Revised November 03 1980)
1980 Mathematics subject classification (Amer. Math. Soc.)