Abstract
Let G be a non-cyclic nite p-group and K an in nite eld of characteristic p. For every 2-cocycle 2 Z2(G;K) such that the twisted group algebra KG is not uniserial, we nd the integers m 1 for which KG has in nitely many absolutely indecomposable representations of dimension m. The main results of the paper imply a solution of the second Brauer{Thrall conjecture for the twisted group algebras KG, under some assumption on G and K
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