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2-Brauer correspondent blocks with one simple module

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Abstract 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… Click to show full abstract

Abstract 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 study this situation for 2-blocks.

Keywords: brauer; brauer correspondent; simple module; correspondent blocks

Journal Title: Journal of Algebra
Year Published: 2017

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