HEIGHTS OF CHARACTERS IN BLOCKS OF $p$-SOLVABLE GROUPS
Published online by Cambridge University Press: 01 June 2005
Abstract
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.
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- © The London Mathematical Society 2005
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