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A note on the cohomology of metabelian groups

Published online by Cambridge University Press:  24 October 2008

P. H. Kropholler
P. H. Kropholler
Affiliation:
St. John's College, Cambridge
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Extract

The cohomology of finitely generated metabelian groups has been studied in a series of papers by Bieri, Groves, and Strebel [2, 3, 4]. In particular, Bieri and Groves [2] have shown that every metabelian group of type (FP)∞ is of finite rank, and so is virtually of type (FP). The purpose of the present paper is to provide a generalization of this result and to use our methods to prove the existence of a pathological class of finitely generated soluble groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 3 , November 1985 , pp. 437 - 445
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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