Journal of the Australian Mathematical Society (Series A)

Table of Contents - 1981 - Volume 31, Issue 02  

Research Article

A class of ideals of the centre of a group ring

Michael F. O'Reillya1

a1 Department of Mathematics, Rhodes University, Grahamstown, 6140, South Africa

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).

(Received September 24 1979)

(Revised November 03 1980)

1980 Mathematics subject classification (Amer. Math. Soc.)

  • 16 A 26;
  • 20 C 05;
  • 20 C 20