On faithful projective representations of finite abelian $p$-groups over a field of characteristic $p$
Volume 111 / 2008
Colloquium Mathematicum 111 (2008), 135-147
MSC: 16S35, 20C20, 20C25.
DOI: 10.4064/cm111-1-12
Abstract
Let $G$ be a noncyclic abelian $p$-group and $K$ be an infinite field of finite characteristic $p$. For every $2$-cocycle $\lambda \in Z^2(G,K^*)$ such that the twisted group algebra $K^\lambda G$ is of infinite representation type, we find natural numbers $d$ for which $G$ has infinitely many faithful absolutely indecomposable $\lambda $-representations over $K$ of dimension $d$.
