- Turkish Journal of Mathematics
- Vol: 40 Issue: 2
- Primary and biprimary class sizes implying nilpotency of finite groups
Primary and biprimary class sizes implying nilpotency of finite groups
Authors : Qinhui Jiang, Changguo Shao
Pages : 389-396
View : 6 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let $G$ be a finite group. We prove that $G$ is nilpotent if the set of conjugacy class sizes of primary and bipirimary elements is $\{1,m,n,mn\}$ with $m$ and $n$ coprime. Moreover, $m$ and $n$ are distinct primes power.Keywords : Finite groups, conjugacy class sizes, primary and biprimary elements