# Defect zero p-blocks for finite simple groups

@article{Granville1996DefectZP, title={Defect zero p-blocks for finite simple groups}, author={Andrew Granville and Ken Ono}, journal={Transactions of the American Mathematical Society}, year={1996}, volume={348}, pages={331-347} }

We classify those finite simple groups whose Brauer graph (or decomposition matrix) has a p-block with defect 0, completing an investigation of many authors. The only finite simple groups whose defect zero p-blocks remained unclassified were the alternating groups An. Here we show that these all have a p-block with defect 0 for every prime p ≥ 5. This follows from proving the same result for every symmetric group Sn, which in turn follows as a consequence of the t-core partition conjecture…

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