Finite-dimensional twisted group algebras of semi-wild representation type

• Autorzy: Leonid F. Barannyk
• Języki publikacji: EN

Abstrakty

EN

Let G be a finite group, K a field of characteristic p > 0, and $K^{λ}G$ the twisted group algebra of G over K with a 2-cocycle λ ∈ Z²(G,K*). We give necessary and sufficient conditions for $K^{λ}G$ to be of semi-wild representation type in the sense of Drozd. We also introduce the concept of projective K-representation type for a finite group (tame, semi-wild, purely semi-wild) and we exhibit finite groups of each type.

Kategorie tematyczne

• 16G60: Representation type (finite, tame, wild, etc.)
• 20C20: Modular representations and characters
• 20C25: Projective representations and multipliers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 2
• Strony: 277-298

Daty

wydano

2010

Twórcy

autor

Leonid F. Barannyk

• Institute of Mathematics, Pomeranian University of Słupsk, Arciszewskiego 22b, 76-200 Słupsk, Poland

Identyfikatory

DOI

10.4064/cm120-2-8