Invariants of finite abelian groups
Invariants of finite abelian groups
a finite group.Let $V$ be a (finite dimen- sional) $kG$ -module, $i$ .$e.$ , a representation module of $G$ over $k$ .Then $G$ acts naturally on the quotient field $F$ of the symmetric algebra $S(V)$ of $V$ as k- automorphisms.We denote the field $F$ with this action of $G$ by …