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

• Autores: Leonid F. Barannyk
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 413-437
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4815
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• Resumen

  • 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