Groups with \(H/\text{core}(H)\) satisfying max or min for all subgroups \(H\).

DOI10.1016/j.jalgebra.2004.06.015zbMath1073.20032OpenAlexW2029393329MaRDI QIDQ2386031

Patrizia Longobardi, Mercede Maj, Howard Smith

Publication date: 22 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.015

zbMATH Keywords

maximal conditiontorsion-free nilpotent groupsminimal condition on subgroupsAbelian normal subgroupslocally finite periodic images

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other classes of groups defined by subgroup chains (20F22) Nilpotent groups (20F18)

Related Items (1)

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Cites Work

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• Locally finite groups with all subgroups normal-by-(finite rank)
• On the minimality property for locally finite groups
• Locally nilpotent groups with all subgroups normal-by-(finite rank)
• On groups with all subgroups norma-by-(finite rank)

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