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

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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.
Original languageEnglish
Pages (from-to)43-49
JournalJournal of Pure and Applied Algebra
Volume211
Issue number1
DOIs
Publication statusPublished - 2007
Externally publishedYes

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