paper

An explicit formula for the action of a finite group on a commutative ring

arXiv:0707.2167

Abstract

Let G be a group which acts on a commutative ring k. We exhibit an induction formula which expresses an element x_G with tr_G(x_G)=1 by elements x_P with tr_P(x_P)=1, where P varies over prime order subgroups of P.

7 pages