On the structure of groups whose non-abelian subgroups are subnormal.

DOI10.2478/s11533-014-0444-8zbMath1310.20029OpenAlexW1988178630MaRDI QIDQ403202

Nikolaj N. Semko, Sevgi Atlıhan, Leonid A. Kurdachenko

Publication date: 29 August 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-014-0444-8

zbMATH Keywords

Sylow subgroupssubnormal subgroupslocally finite groupsnon-Abelian subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Cites Work

• Stucture of periodic met-Abelian meta-Hamiltonian groups with elementary commutant of rank 2
• Meta-Hamiltonian groups with elementary commutant of rank 2
• Structure of periodic nonabelian metahamiltonian groups with an elementary commutator subgroup of rank three
• Some sufficient conditions for a group to be nilpotent
• Structure of solvable nonnilpotent metahamiltonian groups
• Groups of prime power order. Vol. 1.
• Infinite groups with many permutable subgroups.
• Structure of periodic metabelian meta-Hamiltonian groups with a nonelementary commutator subgroup
• Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. (Solubility of groups all subgroups of which are subnormal)
• Finite groups with subnormal Schmidt subgroups
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