A note on uncountable groups with modular subgroup lattice

DOI10.1007/s00013-016-0964-5zbMath1369.20039OpenAlexW2514505213MaRDI QIDQ2520691

Marco Trombetti, Francesco de Giovanni

Publication date: 16 December 2016

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

Full work available at URL: https://doi.org/10.1007/s00013-016-0964-5

zbMATH Keywords

modular latticequasi-Hamiltonian groupuncountable group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (4)

Large characteristic subgroups with modular subgroup lattice ⋮ A NOTE ON GROUPS WHOSE PROPER LARGE SUBGROUPS HAVE A TRANSITIVE NORMALITY RELATION ⋮ Permutability in uncountable groups ⋮ Uncountable groups in which normality is a transitive relation

Cites Work

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• Large soluble groups and the control of embedding properties.
• Groups with restrictions on subgroups of infinite rank.
• Uncountable groups with restrictions on subgroups of large cardinality.
• Groups with modular lattice of subgroups
• Subgroup lattices of groups
• AN IMBEDDING THEOREM FOR GROUPS AND ITS COROLLARIES
• NILPOTENCY IN UNCOUNTABLE GROUPS

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