Modules Over The Integral Group Ring Of A Non Abelian Group Of Order Pq
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Modules over the Integral Group Ring of a Non-Abelian Group of Order $pq$
By using pullbacks, we obtain a description of finitely generated modules over the integral group ring of a non-abelian group of order [italic]pq. The description is detailed enough to obtain information about the behavior of the modules in direct sums. We make the description more precise by relating it to the locally free class group of the integral group ring.