Groups with elementary abelian commutant of at most $p^2$th order

• Date: 1998
• Main Authors: Mazurok, О. O., Мазурок, О. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4923
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain a representation of nilpotent groups with a commutant of the type $(p)$ or $(p, p)$ that has the form of a product of two normal subgroups. One of these subgroups is constructively described as a Chernikov $p$-group of rank 1 or 2, and the other subgroup has a certain standard form. We als...