Finite-dimensional twisted group algebras of semi-wild representation type

Leonid F. Barannyk. "Finite-dimensional twisted group algebras of semi-wild representation type." Colloquium Mathematicae 120.2 (2010): 277-298. <http://eudml.org/doc/283962>.

@article{LeonidF2010,
abstract = {Let G be a finite group, K a field of characteristic p > 0, and $K^\{λ\}G$ the twisted group algebra of G over K with a 2-cocycle λ ∈ Z²(G,K*). We give necessary and sufficient conditions for $K^\{λ\}G$ to be of semi-wild representation type in the sense of Drozd. We also introduce the concept of projective K-representation type for a finite group (tame, semi-wild, purely semi-wild) and we exhibit finite groups of each type.},
author = {Leonid F. Barannyk},
journal = {Colloquium Mathematicae},
keywords = {crossed group rings; modular representations; projective representations; twisted group rings; representation types},
language = {eng},
number = {2},
pages = {277-298},
title = {Finite-dimensional twisted group algebras of semi-wild representation type},
url = {http://eudml.org/doc/283962},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Leonid F. Barannyk
TI - Finite-dimensional twisted group algebras of semi-wild representation type
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 277
EP - 298
AB - Let G be a finite group, K a field of characteristic p > 0, and $K^{λ}G$ the twisted group algebra of G over K with a 2-cocycle λ ∈ Z²(G,K*). We give necessary and sufficient conditions for $K^{λ}G$ to be of semi-wild representation type in the sense of Drozd. We also introduce the concept of projective K-representation type for a finite group (tame, semi-wild, purely semi-wild) and we exhibit finite groups of each type.
LA - eng
KW - crossed group rings; modular representations; projective representations; twisted group rings; representation types
UR - http://eudml.org/doc/283962
ER -