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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 $\supp(x)$ , is the set of elements of $G$ which occur with non-zero coefficient in the expansion of $x$ .
Thus: $$\supp(x) = \{ g \in G \mid x_g \neq 0 \}.$$
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"support" is owned by mclase.
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Cross-references: coefficient, ring, group, group ring
There are 13 references to this entry.
This is version 2 of support, born on 2003-10-20, modified 2003-10-20.
Object id is 5400, canonical name is Support4.
Accessed 2487 times total.
Classification:
| AMS MSC: | 16S34 (Associative rings and algebras :: Rings and algebras arising under various constructions :: Group rings , Laurent polynomial rings) |
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Pending Errata and Addenda
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