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The periodicity conjecture for blocks of group algebras

Tom 138 / 2015

Karin Erdmann, Andrzej Skowroński Colloquium Mathematicum 138 (2015), 283-294 MSC: Primary 16D50, 16E30, 20C20; Secondary 16G60, 16G70, 20C05. DOI: 10.4064/cm138-2-12

Streszczenie

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.

Autorzy

  • Karin ErdmannMathematical Institute
    University of Oxford
    ROQ, Oxford OX2 6GG
    United Kingdom
    e-mail
  • Andrzej SkowrońskiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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