A Note of ${ CP}_{2}$ Groups

Abstract

A new class ${ CP}_2$ groups of finite groups was characterized by using an inequality of the orders of elements. In this short paper we give a note of ${ CP}_2$ groups since ${ CP}_2$ groups is a subclass of ${ CP}$(${ EPPO}$) groups. Moreover, we discuss the structure of finite p groups contained in ${ CP}_2$ groups.

Keywords

Finite groups / Element orders / CP groups / Frobenius groups / 2-Frobenius groups

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Funding

National Natural Science Foundation of China(11671063)