The Structure of Modules over Polycyclic Groups

  • B. A. F. WehrfritzEmail author
Part of the Algebra and Applications book series (AA, volume 10)


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.


Normal Subgroup Prime Ideal Maximal Ideal Jacobson Radical Primitive Ideal 
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Copyright information

© Springer-Verlag London 2009

Authors and Affiliations

  1. 1.School of Mathematical SciencesQueen Mary, University of LondonLondonUK

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