Some properties of nilpotent groups

• Date: 2018
• Main Authors: Gaglione, Anthony M., Lipschutz, Seymour, Spellman, Dennis
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Property S; Property R; commensurable; variety of groups; closure operator; 20F18,20F05,20F24,16D10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/797
• Journal Title: 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...