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Mathematische Zeitschrift

, Volume 268, Issue 1–2, pp 441–476 | Cite as

The structure of blocks with a Klein four defect group

  • David A. Craven
  • Charles W. Eaton
  • Radha Kessar
  • Markus LinckelmannEmail author
Article

Abstract

We prove Erdmann’s conjecture (J Algebra 76:505–518, 1982) stating that every block with a Klein four defect group has a simple module with trivial source, and deduce from this that Puig’s finiteness conjecture holds for source algebras of blocks with a Klein four defect group. The proof uses the classification of finite simple groups.

Keywords

Normal Subgroup Conjugacy Class Simple Group Irreducible Character Defect Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • David A. Craven
    • 1
  • Charles W. Eaton
    • 2
  • Radha Kessar
    • 3
  • Markus Linckelmann
    • 3
    Email author
  1. 1.Mathematical InstituteUniversity of OxfordOxfordUK
  2. 2.School of MathematicsThe University of ManchesterManchesterUK
  3. 3.Institute of MathematicsKing’s College, University of AberdeenAberdeenScotland, UK

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