The structure of blocks with a Klein four defect group

Radha Kessar, Markus Linckelmann, David Craven, Charles Eaton

Research output: Contribution to journalArticle

15 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)441-476
Number of pages36
JournalMathematische Zeitschrift
Volume268
Issue number1-2
Early online date11 Feb 2010
DOIs
Publication statusPublished - Jun 2011

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    Kessar, R., Linckelmann, M., Craven, D., & Eaton, C. (2011). The structure of blocks with a Klein four defect group. Mathematische Zeitschrift, 268(1-2), 441-476. https://doi.org/10.1007/s00209-010-0679-4