The probability of commuting subgroups in arbitrary lattices of subgroups

DOI10.22108/ijgt.2020.122081.1604zbMath1491.20188OpenAlexW3024515918MaRDI QIDQ5854512

Francesco G. Russo, Seid Kassaw Muhie

Publication date: 17 March 2021

Full work available at URL: https://doaj.org/article/0800b464ac314f9980d83dc1aa9b4c8b

zbMATH Keywords

dihedral groupspolynomial functionssublatticeselementary abelian \(p\)-groupssubgroup commutativity degree

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Probabilistic methods in group theory (20P05)

Related Items (3)

Factorization number and subgroup commutativity degree via spectral invariants ⋮ Non-permutability graph of subgroups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Subgroup S-commutativity degrees of finite groups.
• Addendum to ``Subgroup commutativity degrees of finite groups.
• Subgroup commutativity degrees of finite groups.
• Periodic locally compact groups. A study of a class of totally disconnected topological groups
• Subgroup lattices of groups
• Subgroup commutativity degree of profinite groups
• An arithmetic method of counting the subgroups of a finite abelian group
• Commuting probabilities of finite groups
• Commutator maps, measure preservation, and 𝑇-systems
• Probabilistic aspects of ZM-groups
• The probability that x and y commute in a compact group
• Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups
• Some Results and Problems in the Theory of Word Maps
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• On some problems of a statistical group-theory. I
• Relative cyclic subgroup commutativity degrees of finite groups

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