A Brauer-Wielandt formula (with an application to character tables)

Navarro, Gabriel; Rizo, Noelia

doi:10.1090/proc/13089

A Brauer-Wielandt formula (with an application to character tables)
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by Gabriel Navarro and Noelia Rizo PDF

Proc. Amer. Math. Soc. 144 (2016), 4199-4204 Request permission

Abstract:

If a $p$-group $P$ acts coprimely on a finite group $G$, we give a Brauer-Wielandt formula to count the number of fixed points $| \textbf {C}_{G}(P) |$ of $P$ in $G$. This serves to determine the number of Sylow $p$-subgroups of certain finite groups from their character tables.

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