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The structure of noetherian modules over hyperfinite groups

Published online by Cambridge University Press:  24 October 2008

Z. Y. Duan
Z. Y. Duan
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow, G12 8QW
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Extract

Let G be a hyperfinite locally soluble group and let A be a noetherian ℤZ;G-module. In [2], we proved that A is the direct sum of a ℤZ;G-submodule Af each of whose irreducible ℤZ;G-module sections is finite and a ℤZ;G-submodule each of whose irreducible ℤZ;G-module sections is infinite. In this paper we study the structure of the ℤZ;G-submodules Af and . Our main result gives a complete description of Af.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 21 - 28
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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