Torsion-free groups isomorphic to all of their non-nilpotent subgroups

DOI10.1017/S1446788700002974zbMath1005.20029MaRDI QIDQ4531550

Howard Smith, James Wiegold, Patrizia Longobardi, Mercede Maj

Publication date: 15 October 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

torsion-free groupslocally nilpotent groupsnon-nilpotent subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Cites Work

• Torsionsfreie Gruppen, deren Untergruppen alle subnormal sind. (Torsion free groups all of whose subgroups are subnormal)
• Groups with many nilpotent subgroups

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