Properties of the normal closure of the center of an FC-subgroup B of the group \(G=AB\) with Abelian subgroup A

DOI10.1007/BF01056831zbMath0607.20013MaRDI QIDQ1085271

N. S. Chernikov

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

ascending series of normal subgroupsFC-groupsfactorized groupscentrenormal closureabelian normal subgroupslocally finite \(\pi \)-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Cites Work

• Product of almost-Abelian groups
• Artinian and Noetherian factorized groups
• On the solvability of some factorized linear groups
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Properties of the normal closure of the center of an FC-subgroup B of the group \(G=AB\) with Abelian subgroup A