Search results for "20C33"

showing 2 items of 2 documents

Irreducible induction and nilpotent subgroups in finite groups

2019

Suppose that $G$ is a finite group and $H$ is a nilpotent subgroup of $G$. If a character of $H$ induces an irreducible character of $G$, then the generalized Fitting subgroup of $G$ is nilpotent.

Pure mathematicsFinite groupAlgebra and Number Theory010102 general mathematicsMathematics::Rings and Algebras01 natural sciencesFitting subgroupNilpotentMathematics::Group TheoryCharacter (mathematics)Simple group0103 physical sciencesFOS: Mathematics010307 mathematical physics0101 mathematicsRepresentation Theory (math.RT)Mathematics::Representation TheoryMathematics - Representation Theory20C15 20C33 (primary) 20B05 20B33 (secondary)Mathematics
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On defects of characters and decomposition numbers

2017

We propose upper bounds for the number of modular constituents of the restriction modulo [math] of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.

Pure mathematicsModulodefect of charactersGroup Theory (math.GR)01 natural sciences0103 physical sciencesComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONDecomposition (computer science)FOS: Mathematics0101 mathematicsRepresentation Theory (math.RT)Mathematics20C20Finite groupAlgebra and Number Theorybusiness.industry010102 general mathematicsModular design20C20 20C33Character (mathematics)heights of charactersdecomposition numbers20C33010307 mathematical physicsbusinessMathematics - Group TheoryMathematics - Representation Theory
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