On minimal non-(torsion-by-nilpotent) and non-((locally finite)-by-nilpotent) groups

DOI10.1016/J.CRMA.2007.02.009zbMath1113.20032OpenAlexW2014260085MaRDI QIDQ876099

Nadir Trabelsi

Publication date: 16 April 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.02.009

zbMATH Keywords

subgroups of finite indexinfinite simple groupsFrattini subgroupfinitely generated perfect groupsminimal non-(torsion-by-nilpotent) groupsnon-((locally finite)-by-nilpotent) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Simple groups (20E32) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (4)

A survey on just-non-\(\mathfrak X\) groups. ⋮ Soluble minimal non-(finite-by-Baer)-groups. ⋮ Groups of infinite rank with a locally finite term in the lower central series. ⋮ On minimal non-PC-groups.

Cites Work

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• On minimal conditions related to Miller-Moreno type groups
• Groups with many polycyclic-by-nilpotent subgroups
• Groups whose proper subgroups are finite-by-nilpotent
• Minimal non-cc-groups
• Groups with few non-nilpotent subgroups
• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov
• Groups with many nilpotent subgroups

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