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Journal of the London Mathematical Society 1978 s2-18(1):65-69; doi:10.1112/jlms/s2-18.1.65
© 1978 by London Mathematical Society
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© Oxford University Press

Finitely Presented Centre-By-Metabelian Groups

J. R. J. Groves

Department of Mathematics, University of Melbourne Parkville, Victoria 3052, Australia

Received 5 August 1977. Revision received 19 January 1978.

An investigation of the groups described in the title is carried out. It is shown that all such groups are extensions of an abelian group by a polycyclic group and so have the maximal condition for normal subgroups and are residually finite.


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