Geodesic
The periodicity conjecture for blocks of group algebras
Karin Erdmann 1   ; Andrzej Skowroński 2
1 Mathematical Institute University of Oxford ROQ, Oxford OX2 6GG United Kingdom
2 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 138 (2015) no. 2, pp. 283-294 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We describe the representation-infinite blocks $B$ of the group algebras $K G$ 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.
DOI : 10.4064/cm138-2-12
Keywords: describe representation infinite blocks group algebras finite groups algebraically closed fields which simple modules periodic respect action syzygy operators particular prove blocks periodic algebras period confirms periodicity conjecture blocks group algebras

Karin Erdmann  1   ; Andrzej Skowroński  2

1 Mathematical Institute University of Oxford ROQ, Oxford OX2 6GG United Kingdom
2 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Karin Erdmann; Andrzej Skowroński. The periodicity conjecture for
 blocks of group algebras. Colloquium Mathematicum, Tome 138 (2015) no. 2, pp. 283-294. doi: 10.4064/cm138-2-12

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