Resumen de Absolutely indecomposable representations of a twisted group algebra of a finite p-group over a field of characteristic p

Leonid F. Barannyk

• 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