On the surjectivity of some trace maps

Eli Aljadeff*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Let K be a commutative ring with a unit element 1. Let Γ be a finite group acting on K via a map t: Γ→Aut(K). For every subgroup H≤Γ define tr H :K→K H by tr h (x)=Σσ∈H σ(x). We prove Theorem: trΓ is surjective onto K Γ if and only if tr P is surjective onto K P for every (cyclic) prime order subgroup P of Γ. This is false for certain non-commutative rings K.

Original languageEnglish
Pages (from-to)221-232
Number of pages12
JournalIsrael Journal of Mathematics
Volume86
Issue number1-3
DOIs
StatePublished - Oct 1994
Externally publishedYes

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