NILPOTENCY IN UNCOUNTABLE GROUPS

DOI10.1017/S1446788716000379zbMath1483.20062OpenAlexW2544149850MaRDI QIDQ4591203

Francesco de Giovanni, Marco Trombetti

Publication date: 13 November 2017

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

Full work available at URL: https://doi.org/10.1017/s1446788716000379

zbMATH Keywords

nilpotent groupsoluble groupuncountable group

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18)

Related Items (10)

Generalized nilpotency in uncountable groups ⋮ A local study of group classes ⋮ Unnamed Item ⋮ A NOTE ON GROUPS WHOSE PROPER LARGE SUBGROUPS HAVE A TRANSITIVE NORMALITY RELATION ⋮ Permutability in uncountable groups ⋮ A note on commutator subgroups in groups of large cardinality ⋮ A note on uncountable groups with modular subgroup lattice ⋮ Uncountable groups in which normality is a transitive relation ⋮ Paranilpotency in uncountable groups ⋮ GROUPS WITH MANY PRONORMAL SUBGROUPS

Cites Work

• Large soluble groups and the control of embedding properties.
• Überauflösbare Gruppen
• Uncountable groups with restrictions on subgroups of large cardinality.
• Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank
• A note on locally graded groups
• Minimal nicht überauflösbare, endliche Gruppen
• Infinite minimal non-hypercyclic groups
• Set Theory
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• Unnamed Item

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