On faithful projective representations of finite abelian p-groups over a field of characteristic p

Leonid F. Barannyk. "On faithful projective representations of finite abelian p-groups over a field of characteristic p." Colloquium Mathematicae 111.1 (2008): 135-147. <http://eudml.org/doc/286140>.

@article{LeonidF2008,
abstract = {Let G be a noncyclic abelian p-group and K be an infinite field of finite characteristic p. For every 2-cocycle λ ∈ Z²(G,K*) such that the twisted group algebra $K^\{λ\}G$ is of infinite representation type, we find natural numbers d for which G has infinitely many faithful absolutely indecomposable λ-representations over K of dimension d.},
author = {Leonid F. Barannyk},
journal = {Colloquium Mathematicae},
keywords = {faithful projective representations; modular projective representations; twisted group algebras; infinite representation type},
language = {eng},
number = {1},
pages = {135-147},
title = {On faithful projective representations of finite abelian p-groups over a field of characteristic p},
url = {http://eudml.org/doc/286140},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Leonid F. Barannyk
TI - On faithful projective representations of finite abelian p-groups over a field of characteristic p
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 1
SP - 135
EP - 147
AB - Let G be a noncyclic abelian p-group and K be an infinite field of finite characteristic p. For every 2-cocycle λ ∈ Z²(G,K*) such that the twisted group algebra $K^{λ}G$ is of infinite representation type, we find natural numbers d for which G has infinitely many faithful absolutely indecomposable λ-representations over K of dimension d.
LA - eng
KW - faithful projective representations; modular projective representations; twisted group algebras; infinite representation type
UR - http://eudml.org/doc/286140
ER -