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.
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 language | English |
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Pages (from-to) | 441-476 |
Number of pages | 36 |
Journal | Mathematische Zeitschrift |
Volume | 268 |
Issue number | 1-2 |
Early online date | 11 Feb 2010 |
DOIs | |
Publication status | Published - Jun 2011 |