Search results for "Simple module"

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2-Brauer correspondent blocks with one simple module

2017

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.

AlgebraAlgebra and Number Theory010102 general mathematics0103 physical sciencesCharacter theoryBlock theoryKey (cryptography)010307 mathematical physics0101 mathematics01 natural sciencesRepresentation theorySimple moduleMathematicsJournal of Algebra
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Brauer correspondent blocks with one simple module

2019

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.

20C20 20C15MatemáticasApplied MathematicsGeneral Mathematics010102 general mathematicsPrincipal (computer security)MathematicsofComputing_GENERAL01 natural sciencesRepresentation theoryAlgebra0103 physical sciencesKey (cryptography)FOS: Mathematics010307 mathematical physics0101 mathematicsRepresentation Theory (math.RT)Simple moduleMathematics - Representation TheoryMathematics
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