Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1504-79
Keywords
Finite groups, conjugacy class sizes, primary and biprimary elements
First Page
389
Last Page
396
Recommended Citation
JIANG, QINHUI and SHAO, CHANGGUO
(2016)
"Primary and biprimary class sizes implying nilpotency of finite groups,"
Turkish Journal of Mathematics: Vol. 40:
No.
2, Article 13.
https://doi.org/10.3906/mat-1504-79
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss2/13