Paranilpotency in uncountable groups

DOI10.1007/S00013-022-01781-7OpenAlexW4303646992MaRDI QIDQ2085553

Marco Trombetti

Publication date: 18 October 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01781-7

zbMATH Keywords

uncountable groupcountable recognizable group classparanilpotent group

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Applications of set theory (03E75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uncountable groups with restrictions on subgroups of large cardinality.
• Groups with many supersoluble subgroups
• Groups with all proper subgroups nilpotent-by-finite rank
• Countable recognizability and nilpotency properties of groups
• Permutability in uncountable groups
• Subgroup lattices of groups
• A note on locally graded groups
• Infinite groups with many complemented subgroups
• Generalized nilpotency in uncountable groups
• Groups with all subgroups permutable or soluble of finite rank
• Jonsson and HS modules over commutative rings
• Groups with all proper subgroups soluble-by-finite rank.
• Supersoluble and locally supersoluble linear groups
• Infinite minimal non-hypercyclic groups
• Groups with all subgroups subnormal
• NILPOTENCY IN UNCOUNTABLE GROUPS
• A Countable-Type Theorem for Uncountable Groups
• Groups in which all subgroups of infinite special rank have bounded near defect
• A local study of group classes
• GROUPS WITH MANY PRONORMAL SUBGROUPS
• Linear groups whose proper subgroups are close to being nilpotent
• Some countably recognizable classes of groups

This page was built for publication: Paranilpotency in uncountable groups