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On modular projective representations of finite nilpotent groups

100%

Barannyk L., Sobolewska K.

Colloquium Mathematicum

2001

tom 87

nr 2

181-193

Our aim is to determine necessary and sufficient conditions for a finite nilpotent group to have a faithful irreducible projective representation over a field of characteristic p ≥ 0.

On indecomposable projective representations of finite groups over fields of characteristic p > 0

100%

Barannyk L., Sobolewska K.

Colloquium Mathematicum

2003

tom 98

nr 2

171-187

Let G be a finite group, F a field of characteristic p with p||G|, and $F^{λ}G$ the twisted group algebra of the group G and the field F with a 2-cocycle λ ∈ Z²(G,F*). We give necessary and sufficient conditions for $F^{λ}G$ 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.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Barannyk L.

2 Sobolewska K.

1 2003

1 2001

Wyniki wyszukiwania

On modular projective representations of finite nilpotent groups

On indecomposable projective representations of finite groups over fields of characteristic p > 0