# support

Let $R[G]$ be the group ring of a group $G$ over a ring $R$.

Let $x=\sum_{g}x_{g}g$ be an element of $R[G]$. The support of $x$, often written $\operatorname{supp}(x)$, is the set of elements of $G$ which occur with non-zero coefficient in the expansion of $x$.

Thus:

 $\operatorname{supp}(x)=\{g\in G\mid x_{g}\neq 0\}.$
Title support Support12 2013-03-22 14:02:56 2013-03-22 14:02:56 mclase (549) mclase (549) 5 mclase (549) Definition msc 16S34