Abstract
We prove that if all real-valued irreducible characters of a finite group with Frobenius–Schur indicator are nonzero at all -elements of , then has a normal Sylow -subgroup. This result generalizes the celebrated Ito–Michler theorem (for the prime and real, absolutely irreducible, representations), as well as several recent results on nonvanishing elements of finite groups.
Citation
Selena Marinelli. Pham Tiep. "Zeros of real irreducible characters of finite groups." Algebra Number Theory 7 (3) 567 - 593, 2013. https://doi.org/10.2140/ant.2013.7.567
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