Amenable groups of finite cohomological dimension and the zero divisor conjecture
classification
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math.FA
keywords
amenablecohomologicalconjecturedimensiondivisorgroupgroupszero
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We prove that every amenable group of cohomological dimension two whose integral group ring is a domain is solvable and investigate certain homological finiteness properties of groups that satisfy the analytic zero divisor conjecture and act on an acyclic CW-complex with amenable stabilisers.
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