On twisted group algebras of OTP representation type

Leonid F. Barannyk, and Dariusz Klein. "On twisted group algebras of OTP representation type." Colloquium Mathematicae 127.2 (2012): 213-232. <http://eudml.org/doc/284264>.

@article{LeonidF2012,
abstract = {Assume that S is a commutative complete discrete valuation domain of characteristic p, S* is the unit group of S and $G = G_\{p\} × B$ is a finite group, where $G_\{p\}$ is a p-group and B is a p’-group. Denote by $S^λ G$ the twisted group algebra of G over S with a 2-cocycle λ ∈ Z²(G,S*). We give necessary and sufficient conditions for $S^λ G$ to be of OTP representation type, in the sense that every indecomposable $S^λ G$-module is isomorphic to the outer tensor product V W of an indecomposable $S^λ G_\{p\}$-module V and an irreducible $S^λ B$-module W.},
author = {Leonid F. Barannyk, Dariusz Klein},
journal = {Colloquium Mathematicae},
keywords = {finite groups; indecomposable modules; twisted group algebras; outer tensor products; OTP representation type; projective representations; modular representations},
language = {eng},
number = {2},
pages = {213-232},
title = {On twisted group algebras of OTP representation type},
url = {http://eudml.org/doc/284264},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Leonid F. Barannyk
AU - Dariusz Klein
TI - On twisted group algebras of OTP representation type
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 2
SP - 213
EP - 232
AB - Assume that S is a commutative complete discrete valuation domain of characteristic p, S* is the unit group of S and $G = G_{p} × B$ is a finite group, where $G_{p}$ is a p-group and B is a p’-group. Denote by $S^λ G$ the twisted group algebra of G over S with a 2-cocycle λ ∈ Z²(G,S*). We give necessary and sufficient conditions for $S^λ G$ to be of OTP representation type, in the sense that every indecomposable $S^λ G$-module is isomorphic to the outer tensor product V W of an indecomposable $S^λ G_{p}$-module V and an irreducible $S^λ B$-module W.
LA - eng
KW - finite groups; indecomposable modules; twisted group algebras; outer tensor products; OTP representation type; projective representations; modular representations
UR - http://eudml.org/doc/284264
ER -