Abstract
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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© 1979 Springer-Verlag
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Levy, L.S. (1979). Modules over the cyclic group of prime order. In: Handelman, D., Lawrence, J. (eds) Ring Theory Waterloo 1978 Proceedings, University of Waterloo, Canada, 12–16 June, 1978. Lecture Notes in Mathematics, vol 734. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103160
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DOI: https://doi.org/10.1007/BFb0103160
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09529-3
Online ISBN: 978-3-540-35043-9
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