A new characterization of groups with central chief factors

• Datum: 2018
• Hauptverfasser: Juriaans, Orlando Stanley, Raphael, Deborah Martins
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: \((X)\)-group; nilpotent; residually central; Z-group; Primary 2036; 16U70. Secondary 20C10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/787
• Назва журналу: Algebra and Discrete Mathematics

In [1] it is proved that a locally nilpotent group is an \((X)\)-group arising the question whether the converse holds. In this paper we derive some interesting properties and give a complete characterization of \((X)\)-groups. As a consequence we obtain a new characterization of groups whose chief...