Abstract 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 {p=2} by considering linear characters and those of even degree.

中文翻译：

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偶数字符度数和正常 Sylow 2-子群

摘要 关于字符度的 Ito-Michler 定理指出，如果素数 p 不能整除有限群 G 的任何不可约字符的度，则 G 有一个正规的 Sylow p-子群。我们通过考虑线性字符和偶数度的字符，为 p = 2 {p=2} 给出了这个结果的一些加强版本。