On indecomposable projective representations of finite groups over fields of characteristic p > 0

• Autorzy: Leonid F. Barannyk , Kamila Sobolewska
• Języki publikacji: EN

Abstrakty

EN

Let G be a finite group, F a field of characteristic p with p||G|, and $F^{λ}G$ the twisted group algebra of the group G and the field F with a 2-cocycle λ ∈ Z²(G,F*). We give necessary and sufficient conditions for $F^{λ}G$ to be of finite representation type. We also introduce the concept of projective F-representation type for the group G (finite, infinite, mixed) and we exhibit finite groups of each type.

Kategorie tematyczne

• 16S35: Twisted and skew group rings, crossed products
• 20C20: Modular representations and characters
• 20C25: Projective representations and multipliers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 98
• Numer: 2
• Strony: 171-187

Daty

wydano

2003

Twórcy

autor

Leonid F. Barannyk

• Institute of Mathematics, Pedagogical Academy, Arciszewskiego 22b, 76-200 Słupsk, Poland

autor

Kamila Sobolewska

• Institute of Mathematics, Pedagogical Academy, Arciszewskiego 22b, 76-200 Słupsk, Poland

Identyfikatory

DOI

10.4064/cm98-2-4