Fitting ideals and the Gorenstein property
Abstract
Let p be a prime number and G be a finite commutative group such that p2 does not divide the order of G. In this note we prove that for every finite module M over the group ring Zp[G], the inequality #M ≤ #Zp[G]/FitZp[G](M) holds. Here, FitZp[G](M) is the Zp[G]-Fitting ideal of M.
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