Geodesic
Graded blocks of group algebras with dihedral defect groups
Dusko Bogdanic1
1 Mathematical Institute University of Oxford 24-29 St Giles' Oxford OX1 3LB, United Kingdom
Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 149-176

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

We investigate gradings on tame blocks of group algebras whose defect groups are dihedral. For this subfamily of tame blocks we classify gradings up to graded Morita equivalence, we transfer gradings via derived equivalences, and we check the existence, positivity and tightness of gradings. We classify gradings by computing the group of outer automorphisms that fix the isomorphism classes of simple modules.
DOI : 10.4064/cm122-2-1
Keywords: investigate gradings tame blocks group algebras whose defect groups dihedral subfamily tame blocks classify gradings graded morita equivalence transfer gradings via derived equivalences check existence positivity tightness gradings classify gradings computing group outer automorphisms fix isomorphism classes simple modules

Dusko Bogdanic 1

1 Mathematical Institute University of Oxford 24-29 St Giles' Oxford OX1 3LB, United Kingdom 
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Dusko Bogdanic. Graded blocks of group algebras
 with dihedral defect groups. Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 149-176. doi: 10.4064/cm122-2-1

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