Morita equivalence classes of tame blocks of finite groups

Norman Macgregor

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Abstract

We show that several Morita equivalence classes of tame algebras do not occur as blocks of finite groups. This refines classifications by Erdmann of classes of blocks with dihedral, semidihedral, and generalised quaternion defect groups. In particular we now have a complete classification of the Morita equivalence classes of blocks of finite groups with dihedral defect groups.
Original languageEnglish
Pages (from-to)719-754
JournalJournal of Algebra
Volume608
Early online date4 Jul 2022
DOIs
Publication statusPublished - 1 Oct 2022

Keywords

  • Block
  • Defect group
  • Morita equivalence
  • Quasi-simple
  • Tame algebra

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