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Zero Divisors and Idempotents in Group Rings

Zero Divisors and Idempotents in Group Rings

We consider the following problem: If KG is the group ring of a torsion free group over a field K, show that KG has no divisors of zero. At characteristic zero, major progress was made by Brown [ 2 ], who solved the problem for G abelian-by-finite, and then by …