Commutativity criterions using normal subgroup lattices.

DOI10.4171/RSMUP/122-10zbMath1191.20023OpenAlexW2005172294MaRDI QIDQ2655870

Simion Sorin Breaz

Publication date: 26 January 2010

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108768

zbMATH Keywords

Abelian groupssubgroup latticeslattices of normal subgroupscommutativity of groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Subgroups of abelian groups (20K27)

Cites Work

• On groups with certain lattices of normal subgroups
• Finite rank torsion free Abelian groups and rings
• On the lattice of normal subgroups of a direct product
• Power-cancellation of groups and modules
• Modularity of the subgroup lattice of a direct square
• Subgroup lattices of groups
• Cancellation in Direct Sums of Groups
• Groups with identical subgroup lattices in all powers
• Every Abelian group is determined by a subgroup lattice
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