Central Idempotents in Group Rings
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 527-528

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Let R be a ring and G a group. The group ring RG consists of all functions f: G → R with finite support. Addition is pointwise and multiplication is defined for f, h ∊ RG and g ∊ G, by The support group of f is defined to be the subgroup of G generated by the support of f. The element f is idempotent if ff = fWe prove the following result.
Burns, R. G. Central Idempotents in Group Rings. Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 527-528. doi: 10.4153/CMB-1970-097-x
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