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# Trace functions in the ring of fractions of polycyclic group rings, II

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Published:1997-08-01
Printed: Aug 1997
• A. I. Lichtman
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## Abstract

We prove the existence of trace functions in the rings of fractions of polycyclic-by-finite group rings or their homomorphic images. In particular a trace function exists in the ring of fractions of $KH$, where $H$ is a polycyclic-by-finite group and $\char K > N$, where $N$ is a constant depending on $H$.
 MSC Classifications: 20C07 - Group rings of infinite groups and their modules [See also 16S34] 16A08 - unknown classification 16A0816A39 - unknown classification 16A39

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