The Structure of Modules over Polycyclic Groups
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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.
KeywordsNormal Subgroup Prime Ideal Maximal Ideal Jacobson Radical Primitive Ideal
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