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.
Brauer correspondent blocks with one simple module / Navarro G.; Tiep P.H.; Vallejo C.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 371:(2019), pp. 903-922. [10.1090/tran/7458]
Brauer correspondent blocks with one simple module
Vallejo C.
2019
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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