On the commutativity degree of compact groups

DOI10.1007/s00013-009-0041-4zbMath1186.22009OpenAlexW2010873418MaRDI QIDQ1040663

Rashid Rezaei, Ahmad Erfanian

Publication date: 25 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00013-009-0041-4

zbMATH Keywords

compact groups\(n\)th commutativity degreeisoclinismcommutativity degree

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Compact groups (22C05) Probabilistic methods in group theory (20P05)

Related Items (8)

Compact groups with probabilistically central monothetic subgroups ⋮ On the commutativity degree of a group algebra ⋮ The influence of the complete nonexterior square graph on some infinite groups ⋮ Subgroup normality degrees of finite groups. I. ⋮ Some results on relative commutativity degree. ⋮ Subgroups with large relative commutativity degree ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ ON THE PROBABILITY DISTRIBUTION OF THE PRODUCT OF POWERS OF ELEMENTS IN COMPACT LIE GROUPS

Cites Work

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• Isoclinism classes and commutativity degrees of finite groups
• Multiplicators and groups with finite central factor-groups
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• The number of conjugacy classes in a finite group
• What is the Probability that Two Group Elements Commute?
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• Relative Number of Non-Invariant Operators in a Group
• The structure of compact groups. A primer for the student -- a handbook for the expert

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