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

Leonid F. Barannyk, Kamila Sobolewska (2003)

Colloquium Mathematicae

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.

On the Jacobson radical of graded rings

Andrei V. Kelarev (1992)

Commentationes Mathematicae Universitatis Carolinae

All commutative semigroups S are described such that the Jacobson radical is homogeneous in each ring graded by S .

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