Central Idempotents in Group Rings
- 1 December 1970
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 13 (4) , 527-528
- https://doi.org/10.4153/cmb-1970-097-x
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
- Central idempotents in group algebrasBulletin of the American Mathematical Society, 1966
- Idempotents in group ringsDuke Mathematical Journal, 1964
- Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)Proceedings of the London Mathematical Society, 1951