The Ito–Michler theorem on character degrees states that if a prime 𝑝 does not divide the degree of any irreducible character of a finite group 𝐺, then 𝐺 has a normal Sylow 𝑝-subgroup.
We give some strengthened versions of this result for by considering linear characters and those of even degree.
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N. N. Hung and P. H. Tiep,
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Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 2, 353–365.
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