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Fusion in the character table

Author(s): Gabriel Navarro
Journal: Proc. Amer. Math. Soc. 126 (1998), 65-66.
MSC (1991): Primary 20C15
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Abstract: Suppose that $P$ is a Sylow $p$ -subgroup of a finite $p$ -solvable group $G$ . If $g \in P$ , then the number of $G$ -conjugates of $g$ in $P$ can be read off from the character table of $G$ .

References:

1.: M. Isaacs, Characters of $\pi$ -separable groups, J. Algebra, 86, (1984), 98-128. MR 85h:20012
2.: M. Isaacs, Fong characters in $\pi$ -separable groups, J. Algebra 99, (1986), 89-107. MR 87e:20015
3.: M. Isaacs, Character Theory of Finite Groups, New York, Dover, 1994.


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