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Groups with an Engel restriction on proper subgroups of infinite rank

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Publication:5133863
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DOI10.1142/S0219498820502138OpenAlexW2978073266WikidataQ114614531 ScholiaQ114614531MaRDI QIDQ5133863

Amel Zitouni, Alireza Abdollahi, Nadir Trabelsi

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820502138


zbMATH Keywords

EngelPrüfer ranklocally (soluble-by-finite)


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Engel conditions (20F45)


Related Items

Generalized nilpotency in uncountable groups ⋮ Groups with some restrictions on non-Baer subgroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Groups whose proper subgroups of infinite rank are finite-by-hypercentral or hypercentral-by-finite



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Groups with restrictions on subgroups of infinite rank.
  • Groups with restricted non-normal subgroups
  • Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank
  • Theorem on groups of finite special rank
  • ON SOME PROBLEMS OF GROUP THEORY AND LIE ALGEBRAS
  • On Minimal Non-Baer-Groups
  • Weak Maximality Condition and Polycyclic Groups
  • Groups with many nilpotent subgroups
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