Geodesic
On faithful projective representations of finite abelian $p$-groups over a field of characteristic $p$
Leonid F. Barannyk1
1 Institute of Mathematics Pomeranian University of S/lupsk Arciszewskiego 22b 76-200 S/lupsk, Poland
Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 135-147.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $d$.
DOI : 10.4064/cm111-1-12
Keywords: noncyclic abelian p group infinite field finite characteristic every cocycle lambda * twisted group algebra lambda infinite representation type natural numbers which has infinitely many faithful absolutely indecomposable lambda representations dimension nbsp

Leonid F. Barannyk 1

1 Institute of Mathematics Pomeranian University of S/lupsk Arciszewskiego 22b 76-200 S/lupsk, Poland 
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Leonid F. Barannyk. On faithful projective representations of finite
 abelian $p$-groups over a field of characteristic $p$. Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 135-147. doi : 10.4064/cm111-1-12. http://geodesic.mathdoc.fr/articles/10.4064/cm111-1-12/

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