Groups whose proper subgroups of infinite rank are finite-by-hypercentral or hypercentral-by-finite

DOI10.1007/S10474-022-01250-1OpenAlexW4296087167MaRDI QIDQ2095125

Nadir Trabelsi, A. Dilmi

Publication date: 9 November 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-022-01250-1

zbMATH Keywords

rankfinite-by-hypercentralhypercentral-by-finitelocally (soluble-by-finite)

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Special aspects of infinite or finite groups (20F99)

Cites Work

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• Groups whose proper subgroups of infinite rank have a transitive normality relation.
• Groups with restrictions on subgroups of infinite rank.
• Groups of infinite rank with a locally finite term in the lower central series.
• Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank
• Theorem on groups of finite special rank
• A note on groups with nilpotent-by-finite proper subgroups
• On locally graded minimal non-(finite-by-hypercentral) groups
• On hypercentral groups.
• A group with trivial centre satisfying the normalizer condition
• A note on groups of infinite rank whose proper subgroups are abelian-by-finite
• Groups with an Engel restriction on proper subgroups of infinite rank
• Groups with many nilpotent subgroups

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