Defect zero blocks for finite simple groups
Defect zero blocks for finite simple groups
We classify those finite simple groups whose Brauer graph (or decomposition matrix) has a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p"> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding="application/x-tex">p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-block with defect 0, completing an investigation of many authors. The only finite simple groups whose defect zero <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p minus"> <mml:semantics> …