Geodesic
On indecomposable projective representations of finite groups over fields of characteristic $p>0$
Leonid F. Barannyk 1   ; Kamila Sobolewska 1
1 Institute of Mathematics Pedagogical Academy Arciszewskiego 22b 76-200 Słupsk, Poland
Colloquium Mathematicum, Tome 98 (2003) no. 2, pp. 171-187 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, $F$ a field of characteristic $p$ with $p\mathchoice {\, |\, }{\, |\, }{|}{|}| G|$, and $F^{\lambda }G$ the twisted group algebra of the group $G$ and the field $F$ with a $2$-cocycle $\lambda \in Z^{2}( G,F^{\ast }) $. We give necessary and sufficient conditions for $F^{\lambda }G$ to be of finite representation type. We also introduce the concept of projective $F$-representation type for the group $G$ (finite, infinite, mixed) and we exhibit finite groups of each type.
DOI : 10.4064/cm98-2-4
Keywords: finite group field characteristic mathchoice lambda twisted group algebra group field cocycle lambda ast necessary sufficient conditions lambda finite representation type introduce concept projective f representation type group finite infinite mixed exhibit finite groups each type

Leonid F. Barannyk  1   ; Kamila Sobolewska  1

1 Institute of Mathematics Pedagogical Academy Arciszewskiego 22b 76-200 Słupsk, Poland 
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Leonid F. Barannyk; Kamila Sobolewska. On indecomposable projective representations
 of finite groups over fields of characteristic $p>0$. Colloquium Mathematicum, Tome 98 (2003) no. 2, pp. 171-187. doi: 10.4064/cm98-2-4

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