具有P_4性质的有限群

Finite Groups with Property P_4

利用初等且自包含的证明,给出了具有P4性质的有限群分类,这里的“P4性质”指的是:每个素数至多能整除3个共轭类的长度。

By an elementary and self-contained proof,we classify the finite groups with property P4 ,where P4 is the property “every prime divides the sizes of at most 3 conjugacy classes”.