Geodesic
Thick subcategories of the stable module category
Fundamenta Mathematicae, Tome 153 (1997) no. 1, pp. 59-80

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a p-group we obtain a complete classification of the thick subcategories. The same classification works whenever the nucleus of the cohomology variety is zero. In case the nucleus is nonzero, we describe some examples which lead us to believe that there are always infinitely many thick subcategories concentrated on each nonzero closed homogeneous subvariety of the nucleus.
DOI : 10.4064/fm-153-1-59-80

D. J. Benson 1 ; Jon F. Carlson 1 ; Jeremy Rickard 1

1 
@article{10_4064_fm_153_1_59_80,
     author = {D. J. Benson and Jon F. Carlson and Jeremy Rickard},
     title = {Thick subcategories of the stable module category},
     journal = {Fundamenta Mathematicae},
     pages = {59--80},
     publisher = {mathdoc},
     volume = {153},
     number = {1},
     year = {1997},
     doi = {10.4064/fm-153-1-59-80},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-153-1-59-80/}
}
TY  - JOUR
AU  - D. J. Benson
AU  - Jon F. Carlson
AU  - Jeremy Rickard
TI  - Thick subcategories of the stable module category
JO  - Fundamenta Mathematicae
PY  - 1997
SP  - 59
EP  - 80
VL  - 153
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-153-1-59-80/
DO  - 10.4064/fm-153-1-59-80
LA  - en
ID  - 10_4064_fm_153_1_59_80
ER  - 
%0 Journal Article
%A D. J. Benson
%A Jon F. Carlson
%A Jeremy Rickard
%T Thick subcategories of the stable module category
%J Fundamenta Mathematicae
%D 1997
%P 59-80
%V 153
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-153-1-59-80/
%R 10.4064/fm-153-1-59-80
%G en
%F 10_4064_fm_153_1_59_80
D. J. Benson; Jon F. Carlson; Jeremy Rickard. Thick subcategories of the stable module category. Fundamenta Mathematicae, Tome 153 (1997) no. 1, pp. 59-80. doi: 10.4064/fm-153-1-59-80

Cité par Sources :