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

Mathematics – Rings and Algebras

Scientific paper

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7 pages

Scientific paper

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.

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