There are many results that give information on the structure of a finite group in terms of properties that refer to its character degrees (or class sizes or element orders) and at most two primes. In this note, we try to extend some of these results considering three primes.

中文翻译：

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字符度数、共轭类大小和元素顺序：三个素数

有许多结果可以根据涉及其特征度（或类大小或元素阶数）和至多两个素数的属性来提供有关有限群结构的信息。在本笔记中，我们尝试扩展其中一些考虑三个素数的结果。