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, Q, & SHAO, C (2016). Primary and biprimary class sizes implying nilpotency of finite groups. Turkish Journal of Mathematics 40 (2): 389-396. https://doi.org/10.3906/mat-1504-79

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