On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups

• Date: 2002
• Main Authors: Baryshovets, P. P., Барышовец, П. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4138
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study groups G satisfying the following conditions: (i) G is a finite solvable group with nonidentity metacyclic second derived subgroup; (ii) all Sylow subgroups of G are Abelian, but not all of them are elementary Abelian. We give a description of the structure of such groups with complementabl...