A NOTE ON GROUPS WHOSE PROPER LARGE SUBGROUPS HAVE A TRANSITIVE NORMALITY RELATION

DOI10.1017/S0004972716000848zbMath1377.20020MaRDI QIDQ2986567

Marco Trombetti, Francesco de Giovanni

Publication date: 16 May 2017

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

zbMATH Keywords

uncountable groupsT-propertyT-group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (2)

Unnamed Item ⋮ Uncountable groups in which normality is a transitive relation

Cites Work

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• Groups whose proper subgroups of infinite rank have a transitive normality relation.
• Large soluble groups and the control of embedding properties.
• Groups with finite conjugacy classes of subnormal subgroups
• Uncountable groups with restrictions on subgroups of large cardinality.
• The vanishing of certain homology and cohomology groups
• A note on uncountable groups with modular subgroup lattice
• Groups which are minimal with respect to normality being intransitive
• Gruppen, in denen das Normalteilersein transitiv ist.
• AN IMBEDDING THEOREM FOR GROUPS AND ITS COROLLARIES
• Groups with many subgroups having a transitive normality relation
• NILPOTENCY IN UNCOUNTABLE GROUPS

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