Search results for "Defect group"

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HEIGHTS OF CHARACTERS IN BLOCKS OF $p$-SOLVABLE GROUPS

2005

In this paper, it is proved that if $B$ is a Brauer $p$ -block of a $p$ -solvable group, for some odd prime $p$ , then the height of any ordinary character in $B$ is at most $2b$ , where $p^b$ is the largest degree of the irreducible characters of the defect group of $B$ . Some other results that relate the heights of characters with properties of the defect group are obtained.

CombinatoricsCharacter (mathematics)Degree (graph theory)Solvable groupGeneral MathematicsDefect groupBlock (permutation group theory)Prime (order theory)MathematicsBulletin of the London Mathematical Society
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The First Main Theorem

1998

Kernel (algebra)Pure mathematicsBrauer's theorem on induced charactersMin-max theoremBlock (programming)Defect groupHomomorphismClassification of finite simple groupsAlgebra over a fieldMathematics
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