Brauer correspondent blocks with one simple module

Navarro, Gabriel; Tiep, Pham; Vallejo, Carolina

doi:10.1090/tran/7458

Brauer correspondent blocks with one simple module
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by Gabriel Navarro, Pham Huu Tiep and Carolina Vallejo PDF

Trans. Amer. Math. Soc. 371 (2019), 903-922 Request permission

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 characterize this situation for the principal $p$-blocks where $p$ is odd.

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