Indecomposable projective representations of direct products of finite groups over a ring of formal power series

• Autorzy: Barannyk L. F.
• Języki publikacji: EN

Abstrakty

EN

Let F be a field of characteristic p > O, S = F[[X]] the ring of formal power series in the indeterminate X with coefficients in the field F, F* the multiplicative group of F, G = Gp x B a finite group, where Gp is a p-group and B is a p'-group. We give necessary and sufficient conditions for G and F under which there exists a cocycle λ ∈ Z2 (G, F*) such that every indecomposable projective 5-representation of G with the cocycle λ is the outer tensor product of an indecomposable projective 5-representation of Gp and an irreducible projective 5-representation of B.

Słowa kluczowe

EN

finite groups; projective representation; twisted group algebra

PL

grupy skończone; rzutowa reprezentacja

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2010
• Tom: Vol. 15
• Strony: 9--24
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Barannyk L. F.

• Institute of Mathematics. Pomeranian University of Słupsk. Arciszewskiego 22b, 76-200 Słupsk, Poland

Bibliografia

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