Roots of Simple Modules
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 96-107

Voir la notice de l'article provenant de la source Cambridge University Press

We introduce roots of indecomposable modules over group algebras of finite groups, and we investigate some of their properties. This allows us to correct an error in Landrock's book which has to do with roots of simple modules.
DOI : 10.4153/CMB-2006-009-x
Mots-clés : 20C20, 20C05
Külshammer, Burkhard. Roots of Simple Modules. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 96-107. doi: 10.4153/CMB-2006-009-x
@article{10_4153_CMB_2006_009_x,
     author = {K\"ulshammer, Burkhard},
     title = {Roots of {Simple} {Modules}},
     journal = {Canadian mathematical bulletin},
     pages = {96--107},
     year = {2006},
     volume = {49},
     number = {1},
     doi = {10.4153/CMB-2006-009-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-009-x/}
}
TY  - JOUR
AU  - Külshammer, Burkhard
TI  - Roots of Simple Modules
JO  - Canadian mathematical bulletin
PY  - 2006
SP  - 96
EP  - 107
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-009-x/
DO  - 10.4153/CMB-2006-009-x
ID  - 10_4153_CMB_2006_009_x
ER  - 
%0 Journal Article
%A Külshammer, Burkhard
%T Roots of Simple Modules
%J Canadian mathematical bulletin
%D 2006
%P 96-107
%V 49
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-009-x/
%R 10.4153/CMB-2006-009-x
%F 10_4153_CMB_2006_009_x

[1] [1] Alperin, J.,Weights for finite groups. Proc. Symp. Pure Math. 47(1987), 369–379. Google Scholar

[2] [2] Alperin, J. and Broué, M., Local methods in block theory. Ann. Math. (2) 110(1979), 143–157. Google Scholar

[3] [3] Barker, L., On p-soluble groups and the number of simple modules associated with a given Brauer pair. Quart. J. Math. Oxford Ser. (2) 48(1997), 133–160. Google Scholar

[4] [4] Dade, E. C., Group-graded rings and modules. Math. Z. 174(1980), 241–262. Google Scholar

[5] [5] Erdmann, K., Blocks and simple modules with cyclic vertices. Bull. London Math. Soc. 9(1977), 216–218. Google Scholar

[6] [6] Knörr, R., On the vertices of irreducible modules. Ann.Math. 110(1979), 487–499. Google Scholar

[7] [7] Landrock, P., Finite group algebras and their modules. Cambridge University Press, Cambridge, 1983. Google Scholar

[8] [8] Landrock, P. and Michler, G. O., Block structure of the smallest Janko group. Math. Ann. 232(1978), 205–238. Google Scholar

[9] [9] Marcus, A., Representation theory of group-graded algebras. Nova Science Publishers, Inc., Commack, New York, 1999. Google Scholar

[10] [10] Okuyama, T., Module correspondence in finite groups. Hokkaido Math. J. 10(1981), 299–318. Google Scholar

[11] [11] Sibley, D. A., Vertices, blocks and virtual characters. J. Algebra 132(1990), 501–507. Google Scholar

[12] [12] Thévenaz, J., G-algebras and modular representation theory. Oxford University Press, Oxford, 1995. Google Scholar

Cité par Sources :