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EXTERIOR POWERS OF MODULES FOR GROUP RINGS OF POLYCYCLIC GROUPS

Published online by Cambridge University Press:  01 October 1997

C. J. B. BROOKES ,
J. E. ROSEBLADE  and
J. S. WILSON
C. J. B. BROOKES
Affiliation:
Corpus Christi College, Cambridge
J. E. ROSEBLADE
Affiliation:
Jesus College, Cambridge
J. S. WILSON
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Birmingham
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Abstract

One of the principal impulses for this paper was the consideration of the question, first raised in 1973 by G. Baumslag [2], of whether every finitely generated Abelian by polycyclic group can be embedded in a finitely presented Abelian by polycyclic group. That this cannot be done follows at once from

THEOREM A. Every finitely presented Abelian by polycyclic group has a metanilpotent normal subgroup of finite index.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 231 - 244
Copyright
The London Mathematical Society 1997

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