Subgroup commutativity degrees of finite groups.

DOI10.1016/J.JALGEBRA.2009.02.010zbMath1196.20024OpenAlexW2080436555MaRDI QIDQ1028303

Marius Tărnăuceanu

Publication date: 30 June 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.02.010

zbMATH Keywords

finite \(p\)-groupslattices of subgroupsdihedral groupspermutable subgroupssubgroup commutativity degrees

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40) Probabilistic methods in group theory (20P05)

Related Items (21)

FACTORIZATION NUMBERS OF SOME FINITE GROUPS ⋮ The probability of commuting subgroups in arbitrary lattices of subgroups ⋮ Cyclicity degrees of finite groups. ⋮ Subpolygroup commutativity degree of finite extension polygroup ⋮ Unnamed Item ⋮ A note on subgroup commutativity degrees of finite groups ⋮ Addendum to ``Subgroup commutativity degrees of finite groups. ⋮ Probabilistic aspects of ZM-groups ⋮ On some probabilistic aspects of (generalized) dicyclic groups ⋮ Non-permutability graph of subgroups ⋮ Minimal non-Iwasawa finite groups ⋮ On the subgroup permutability degree of the simple Suzuki groups. ⋮ THE SUBGROUP COMMUTATIVITY DEGREE OF FINITE -GROUPS ⋮ Unnamed Item ⋮ Subgroup commutativity degree of profinite groups ⋮ A probabilistic measure for the number of commuting subgroups in locally compact groups ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ SUBGROUP PERMUTABILITY DEGREE OF PSL(2,pⁿ) ⋮ Unnamed Item ⋮ Relative cyclic subgroup commutativity degrees of finite groups ⋮ A connection between the number of subgroups and the order of a finite group

Cites Work

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• What is the probability that two elements of a finite group commute?
• Isoclinism classes and commutativity degrees of finite groups
• Subgroup lattices of groups
• CENTRAL EXTENSIONS AND COMMUTATIVITY DEGREE
• What is the Probability that Two Group Elements Commute?
• On the Relative Commutativity Degree of a Subgroup of a Finite Group

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