Finite-dimensional twisted group algebras of semi-wild representation type
Volume 120 / 2010
Colloquium Mathematicum 120 (2010), 277-298
MSC: Primary 16G60; Secondary 20C20, 20C25.
DOI: 10.4064/cm120-2-8
Abstract
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.
