Hyper-(rank one) groups |
| |
| Authors: | Francesco de Giovanni Martin L. Newell |
| |
| Affiliation: | 1. Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, via Cintia, Naples, Italy
2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
|
| |
| Abstract: | A group $G$ is called a $mathcal{P }_1$ -group if it has a normal series of finite length whose factors have rank $1$ , while $G$ is an $mathcal{H }_1$ -group if it has an ascending normal series of the same type. This paper investigates properties of $mathcal{P }_1$ -groups and $mathcal{H }_1$ -groups which correspond to known properties of nilpotent and supersoluble groups. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
