Vol. 59, No. 2, 1975

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ISSN: 0030-8730
Miscellany on Bieberbach group algebras

Daniel Reuven Farkas

Vol. 59 (1975), No. 2, 427–435
Abstract

One of the longstanding problems in the the theory of infinite group algebras is the zero divisor conjecture: does the group algebra of a torsion free group have zero divisors?

Results presented here grew out of an attempt to settle the conjecture for abelian-by-finite groups. Since the problem is not solved it seems valuable to collect in one paper most of the information about this case.

The conjecture has been verified for some limited classes of groups ([9], [8], [5]).

Mathematical Subject Classification 2000
Primary: 20E25
Secondary: 16A26
Milestones
Received: 28 February 1975
Revised: 7 May 1975
Published: 1 August 1975
Authors
Daniel Reuven Farkas