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

Leonid F. Barannyk, and Kamila Sobolewska. "On indecomposable projective representations of finite groups over fields of characteristic p > 0." Colloquium Mathematicae 98.2 (2003): 171-187. <http://eudml.org/doc/284496>.

@article{LeonidF2003,
abstract = {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.},
author = {Leonid F. Barannyk, Kamila Sobolewska},
journal = {Colloquium Mathematicae},
keywords = {twisted group algebras; indecomposable modules; representation types},
language = {eng},
number = {2},
pages = {171-187},
title = {On indecomposable projective representations of finite groups over fields of characteristic p > 0},
url = {http://eudml.org/doc/284496},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Leonid F. Barannyk
AU - Kamila Sobolewska
TI - On indecomposable projective representations of finite groups over fields of characteristic p > 0
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 2
SP - 171
EP - 187
AB - 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.
LA - eng
KW - twisted group algebras; indecomposable modules; representation types
UR - http://eudml.org/doc/284496
ER -