Groups whose derived subgroup is not supplemented by any proper subgroup

DOI10.52737/18291163-2022.14.10-1-13OpenAlexW4284975822MaRDI QIDQ5059919

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Publication date: 17 January 2023

Published in: Armenian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.52737/18291163-2022.14.10-1-13

zbMATH Keywords

free groupssupplementderived subgroupweakly nilpotent groupsfrat(G)nfrat(G)weakly solvable groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• Finite groups with two noncomplemented subgroups.
• Finite groups with trivial Frattini subgroup.
• Supplementation in groups
• Elementary Groups
• Complemented Groups
• Commutator Subgroups of Free Groups
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