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Finite-dimensional twisted group algebras of semi-wild representation type

Tom 120 / 2010

Colloquium Mathematicum 120 (2010), 277-298 MSC: Primary 16G60; Secondary 20C20, 20C25. DOI: 10.4064/cm120-2-8

Streszczenie

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.

Autorzy

• Leonid F. BarannykInstitute of Mathematics
Pomeranian University of S/lupsk
Arciszewskiego 22b
76-200 S/lupsk, Poland
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