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The Structure of Modules over Polycyclic Groups

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

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.

Keywords

Normal Subgroup Prime Ideal Maximal Ideal Jacobson Radical Primitive Ideal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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