On faithful projective representations of finite abelian p-groups over a field of characteristic p

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

Abstrakty

EN

Let G be a noncyclic abelian p-group and K be an infinite field of finite characteristic p. For every 2-cocycle λ ∈ Z²(G,K*) such that the twisted group algebra $K^{λ}G$ is of infinite representation type, we find natural numbers d for which G has infinitely many faithful absolutely indecomposable λ-representations over K of dimension d.

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: 2008
• Tom: 111
• Numer: 1
• Strony: 135-147

Daty

wydano

2008

Twórcy

autor

Leonid F. Barannyk

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

Identyfikatory

DOI

10.4064/cm111-1-12