Twisted group algebras of sur-type of finite groups over an integral domain of characteristic p

• Autorzy: Klein D.
• Języki publikacji: EN

Abstrakty

EN

Let S be an integral domain of positive characteristic p, which is not a field, S∗ the unit group of S, G a finite group, and SλG the twisted group algebra of the group G over S with a 2-cocycle λ ∈ Z2(G,S∗). Denote by Indm(SλG) the set of isomorphism classes of indecomposable SλGmodules of S-rank m. We exhibit algebras SλG of SUR-type, in the sense that there exists a function fλ : N → N such that fλ(n) ≥ n and Indfλ(n)(SλG) is an infinite set for every integer n > 1.

Słowa kluczowe

EN

functions; group algebra; isomorphism

PL

funkcje matematyczne; algebra grupowa; izomorfizm

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2012
• Tom: Vol. 17
• Strony: 49--56
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Klein D.

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

Bibliografia

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