Finite A-groups with complementable nonmetacyclic subgroups

• Datum: 2006
• Hauptverfasser: Baryshovets, P. P., Барышовец, П. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3479
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study groups G, satisfying the following conditions: 1)G — is a finite soluble group with nontrivial prime-power metacyclic second commutator subgroup; 2)all Sylow subgroups of G are elementary Abelian. We describe the structure of these groups with complemented nonmetacyclic subgroup.