Brauer correspondent blocks with one simple module
classification
🧮 math.RT
keywords
blocksbrauercorrespondentmodulesimplecasecharacterizecorresponding
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One of the main problems in representation theory is to understand the exact relationship between Brauer corresponding blocks of finite groups. The case where the local correspondent has a unique simple module seems key. We characterize this situation for the principal p-blocks where p is odd.
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