Some properties of nilpotent groups

• Datum: 2018
• Hauptverfasser: Gaglione, Anthony M., Lipschutz, Seymour, Spellman, Dennis
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Property S; Property R; commensurable; variety of groups; closure operator; 20F18,20F05,20F24,16D10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/797
• Назва журналу: Algebra and Discrete Mathematics

Property S, a finiteness property which can hold in infinite groups, was introduced by Stallings and others and shown to hold in free groups. In [2] it was shown to hold in nilpotent groups as a consequence of a technical result of Mal'cev. In that paper this technical result was dubbed propert...