On faithful projective representations of finite
abelian $p$-groups over a field of characteristic $p$
Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 135-147
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $G$ be a noncyclic abelian $p$-group and $K$ be an infinite field of finite characteristic $p$. For every $2$-cocycle $\lambda \in Z^2(G,K^*)$ such that the twisted group algebra $K^\lambda G$ is of infinite representation type, we find natural numbers $d$ for which $G$ has infinitely many faithful absolutely indecomposable $\lambda $-representations over $K$ of dimension $d$.
Keywords:
noncyclic abelian p group infinite field finite characteristic every cocycle lambda * twisted group algebra lambda infinite representation type natural numbers which has infinitely many faithful absolutely indecomposable lambda representations dimension nbsp
Affiliations des auteurs :
Leonid F. Barannyk 1
@article{10_4064_cm111_1_12,
author = {Leonid F. Barannyk},
title = {On faithful projective representations of finite
abelian $p$-groups over a field of characteristic $p$},
journal = {Colloquium Mathematicum},
pages = {135--147},
publisher = {mathdoc},
volume = {111},
number = {1},
year = {2008},
doi = {10.4064/cm111-1-12},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm111-1-12/}
}
TY - JOUR AU - Leonid F. Barannyk TI - On faithful projective representations of finite abelian $p$-groups over a field of characteristic $p$ JO - Colloquium Mathematicum PY - 2008 SP - 135 EP - 147 VL - 111 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm111-1-12/ DO - 10.4064/cm111-1-12 LA - en ID - 10_4064_cm111_1_12 ER -
%0 Journal Article %A Leonid F. Barannyk %T On faithful projective representations of finite abelian $p$-groups over a field of characteristic $p$ %J Colloquium Mathematicum %D 2008 %P 135-147 %V 111 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm111-1-12/ %R 10.4064/cm111-1-12 %G en %F 10_4064_cm111_1_12
Leonid F. Barannyk. On faithful projective representations of finite abelian $p$-groups over a field of characteristic $p$. Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 135-147. doi: 10.4064/cm111-1-12
Cité par Sources :