The periodicity conjecture for blocks of group algebras

Karin Erdmann, and Andrzej Skowroński. "The periodicity conjecture for blocks of group algebras." Colloquium Mathematicae 138.2 (2015): 283-294. <http://eudml.org/doc/283786>.

@article{KarinErdmann2015,
abstract = {We describe the representation-infinite blocks B of the group algebras KG of finite groups G over algebraically closed fields K for which all simple modules are periodic with respect to the action of the syzygy operators. In particular, we prove that all such blocks B are periodic algebras of period 4. This confirms the periodicity conjecture for blocks of group algebras.},
author = {Karin Erdmann, Andrzej Skowroński},
journal = {Colloquium Mathematicae},
keywords = {syzygies; periodic modules; periodic algebras; blocks of infinite representation type; defect groups; simple modules; group algebras},
language = {eng},
number = {2},
pages = {283-294},
title = {The periodicity conjecture for blocks of group algebras},
url = {http://eudml.org/doc/283786},
volume = {138},
year = {2015},
}

TY - JOUR
AU - Karin Erdmann
AU - Andrzej Skowroński
TI - The periodicity conjecture for blocks of group algebras
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 2
SP - 283
EP - 294
AB - We describe the representation-infinite blocks B of the group algebras KG of finite groups G over algebraically closed fields K for which all simple modules are periodic with respect to the action of the syzygy operators. In particular, we prove that all such blocks B are periodic algebras of period 4. This confirms the periodicity conjecture for blocks of group algebras.
LA - eng
KW - syzygies; periodic modules; periodic algebras; blocks of infinite representation type; defect groups; simple modules; group algebras
UR - http://eudml.org/doc/283786
ER -