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On groups that are dominated by countably many proper subgroups

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Publication:1643200
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DOI10.1016/J.JALGEBRA.2018.05.018zbMath1437.20021OpenAlexW2803143168WikidataQ129807108 ScholiaQ129807108MaRDI QIDQ1643200

Giovanni Cutolo, Derek J. S. Robinson, Ahmet Arıkan

Publication date: 18 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.05.018


zbMATH Keywords

proper subgroupcountably dominated set


Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15)


Related Items (1)

On metanilpotent groups satisfying the minimal condition on normal subgroups




Cites Work

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  • Groups with countably many subgroups.
  • On groups with countably many maximal subgroups
  • Irreducible groups of automorphisms of abelian groups
  • On locally graded non-periodic barely transitive groups.
  • Soluble groups with the minimum condition for normal subgroups
  • Groups with descending chain condition for normal subgroups
  • Uncountable Artinian Modules and Uncountable Soluble Groups Satisfying Min-n
  • A dual approach to Černikov modules
  • Injective modules and soluble groups satisfying the minimal condition for normal subgroups




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