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arxiv: 0707.2167 · v1 · submitted 2007-07-14 · 🧮 math.RA · math.GR

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

classification 🧮 math.RA math.GR
keywords commutativeformulagroupringactionactselementelements
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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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