Graded blocks of group algebras with dihedral defect groups

Dusko Bogdanic. "Graded blocks of group algebras with dihedral defect groups." Colloquium Mathematicae 122.2 (2011): 149-176. <http://eudml.org/doc/283887>.

@article{DuskoBogdanic2011,
abstract = {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.},
author = {Dusko Bogdanic},
journal = {Colloquium Mathematicae},
keywords = {tame blocks; derived equivalences; transfer of gradings; dihedral defect groups; Cartan matrices},
language = {eng},
number = {2},
pages = {149-176},
title = {Graded blocks of group algebras with dihedral defect groups},
url = {http://eudml.org/doc/283887},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Dusko Bogdanic
TI - Graded blocks of group algebras with dihedral defect groups
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 149
EP - 176
AB - 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.
LA - eng
KW - tame blocks; derived equivalences; transfer of gradings; dihedral defect groups; Cartan matrices
UR - http://eudml.org/doc/283887
ER -