Abstract
In many ways this chapter is the culmination of much of the work we have done in Chaps. 6, 7 and 8. We are especially interested here in the structure of a finitely generated module over a polycyclic group. We then use this information to prove that a finitely generated abelian-by-polycyclic-by-finite group is residually finite.
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© 2009 Springer-Verlag London
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Wehrfritz, B.A.F. (2009). The Structure of Modules over Polycyclic Groups. In: Group and Ring Theoretic Properties of Polycyclic Groups. Algebra and Applications, vol 10. Springer, London. https://doi.org/10.1007/978-1-84882-941-1_9
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DOI: https://doi.org/10.1007/978-1-84882-941-1_9
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Publisher Name: Springer, London
Print ISBN: 978-1-84882-942-8
Online ISBN: 978-1-84882-941-1
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