Journal of Group Theory ( IF 0.466 ) Pub Date : 2020-09-09 , DOI: 10.1515/jgth-2020-0038
Hongfei Pan; Nguyen Ngoc Hung; Shuqin Dong

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 $p=2$ by considering linear characters and those of even degree.

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