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 language | English |
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Pages (from-to) | 221-232 |
Number of pages | 12 |
Journal | Israel Journal of Mathematics |
Volume | 86 |
Issue number | 1-3 |
DOIs | |
State | Published - Oct 1994 |
Externally published | Yes |