6533b832fe1ef96bd129a277

RESEARCH PRODUCT

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

Gabriel NavarroNoelia Rizo

subject

Discrete mathematicsCharacter tableApplied MathematicsGeneral MathematicsArithmeticMathematics

description

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

https://doi.org/10.1090/proc/13089