On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups

• Date: 2001
• Main Authors: Baryshovets, P. P., Барышовец, П. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4381
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study groups G that satisfy the following conditions: (i) G is a finite solvable group with nonprimary metacyclic second subgroup and (ii) all Sylow subgroups of the group G are elementary Abelian subgroups. We describe the structure of groups of this type with complementable nonmetacyclic subgro...