Applications of a new 𝐾-theoretic theorem to soluble group rings

Kropholler, P. H.; Linnell, P. A.; Moody, J. A.

doi:10.1090/S0002-9939-1988-0964842-0

Applications of a new $K$-theoretic theorem to soluble group rings
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by P. H. Kropholler, P. A. Linnell and J. A. Moody PDF

Proc. Amer. Math. Soc. 104 (1988), 675-684 Request permission

Abstract:

Let $R$ be a ring and let $G$ be a soluble group. In this situation we shall give necessary and sufficient conditions for $RG$ to have a right Artinian right quotient ring. In the course of this work, we shall also consider the Goldie rank problem for soluble groups and record an affirmative answer to the zero divisor conjecture for soluble groups.

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