Modules over the cyclic group of prime order

  • Lawrence S. Levy
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 734)


We describe the structure of all finitely generated modules over the integral group ring ZG, G=<g> cyclic of prime order p. The additive groups of the modules in question need not be torsion free. We give a moderately detailed description of the indecomposable ZG-modules, and determine when two direct sums of such modules are isomorphic to each other.


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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Lawrence S. Levy
    • 1
  1. 1.Mathematics DepartmentUniversity of WisconsinMadison

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