6533b838fe1ef96bd12a3ec0

RESEARCH PRODUCT

Brauer correspondent blocks with one simple module

Gabriel NavarroPham Huu TiepCarolina Vallejo

subject

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

description

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.

http://arxiv.org/abs/1803.00743