Groups satisfying the condition of weak minimality for subgroups of derived length two

• Date: 1994
• Main Authors: Onishchuk, V. A., Онищук, В. А.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5636
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider non-Abelian solvable and radical groups that satisfy the condition of weak minimality for subgroups of derived length two. We show that these groups are minimax groups. This is not true for locally solvable groups. We give an example of a group of derived length three that satisfies the...