Geodesic
Finite-dimensional twisted group algebras of semi-wild representation type
Leonid F. Barannyk1
1 Institute of Mathematics Pomeranian University of S/lupsk Arciszewskiego 22b 76-200 S/lupsk, Poland
Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 277-298 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $G$ be a finite group, $K$ a field of characteristic $p>0$, and $K^\lambda G$ the twisted group algebra of $G$ over $K$ with a $2$-cocycle $\lambda \in Z^2(G,K^*)$. We give necessary and sufficient conditions for $K^\lambda G$ 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.
DOI : 10.4064/cm120-2-8
Keywords: finite group field characteristic lambda twisted group algebra cocycle lambda * necessary sufficient conditions lambda semi wild representation type sense drozd introduce concept projective k representation type finite group tame semi wild purely semi wild exhibit finite groups each type

Leonid F. Barannyk 1

1 Institute of Mathematics Pomeranian University of S/lupsk Arciszewskiego 22b 76-200 S/lupsk, Poland 
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 semi-wild representation type
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Leonid F. Barannyk. Finite-dimensional twisted group algebras of
 semi-wild representation type. Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 277-298. doi: 10.4064/cm120-2-8

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